2022
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Almirón, Patricio, The Tjurina number for Sebastiani-Thom type isolated hypersurface singularities
Mediterr. J. Math. 20 (2023), no. 5, Paper No. 258, 14 pp. - Almirón, Patricio; Moyano-Fernández, Julio José
Eliahou number, Wilf function and concentration of a numerical semigroup
Quaest. Math. 46 (2023), no. 4, 761–774. - Artal Bartolo, E.; Morón-Sanz, R. Differential geometry of complex projective plane conics
Hokkaido Math. J. 52 (2023), no. 1, 23–40. - Artal Bartolo, Enrique; Bannai, Shinzo; Shirane, Taketo; Tokunaga, Hiro-o Torsion divisors of plane curves with maximal flexes and Zariski pairs
Math. Nachr. 296 (2023), no. 6, 2214–2235. - Luengo, Ignacio; Avendaño, Martín; Coscojuela, Pilar DME: a full encryption, signature and KEM multivariate public key cryptosystem
Lecture Notes in Comput. Sci., 14154
Springer, Cham, 2023, 379–402.
ISBN: 978-3-031-40002-5; 978-3-031-40003-2
2022
- L. Alanis López, E. Artal-Bartolo, C. Bonatti, X. Gómez-Mont, M. Gonzàlez Villa, and P. Portilla-Cuadrado, On a quadratic form associated with a surface automorphism and its applications to Singularity Theory. Indagationes Mathematicae Volume 33, Issue 4, July 2022, Pages 816-843.
- P. Almirón, On the quotient of Milnor and Tjurina numbers for two-dimensional isolated hypersurface singularities, Mathematische Nachrichten (2022), pp. 1?10.
- P. Almirón, J. J. Moyano-Fernández. Supersymmetric gaps a numerical semigroup with two generators. Communications in Algebra, volumen 50, issue 10, pp. 4252-4268. 2022.
- P. Almirón, M. Schulze, Limit spectral distribution for non-degenerate hypersurface singularities. Comptes Rendus. Mathématique, 2022, 360, pp. 699-710.
- P. Almirón, J.J Moyano-Fernández. Eliahou number, Wilf function and concentration of a numerical semigroup, Quaestiones Mathematicae, 2022.
- P. Almirón, J.J. Moyano-Fernández, Supersymmetric gaps of a numerical semigroup with two generators, Communications in Algebra, 2022, Volume 50, Iussue 10, Pages 4252-4268.
- Enrique Artal Bartolo; José Ignacio Cogolludo Agustín; Jorge Martín-Morales; Cyclic branched coverings of surfaces with abelian quotient singularities. Indiana Univ. Math. J. 71 (2022), no. 1, 213–249.
- E. Artal-Bartolo, M. González Villa, On Maximal order poles of generalized topological zeta functions. p-adic analysis, arithmetics, and singularities, 225–230, Contemp. Math. 778, Amer. Math. Soc., Providence, RI, 2022. C. Galindo, A. Melle-Hernandez, J.J. Moyano and W.A. Zúñiga-Galindo (eds.)
- Rubén Blasco-García, José Ignacio Cogolludo-Agustín, Conchita Martínez-Pérez:
On the Sigma invariants of even Artin groups of FC-type Journal of Pure and Applied Algebra
Volume 226, Issue 7, July 2022, 106984 - Rubén Blasco-García, José Ignacio Cogolludo-Agustín, Conchita Martínez-Pérez: Homology of even Artin kernels Algebraic & Geometric Topology 22 (2022) 349–372
- Nero Budur, Javier Fernández de Bobadilla, Quy Thuong Lê, Hong Duc Nguyen,
Cohomology of contact loci,
J. Differential Geom. 120(3): 389–409 (March 2022). - Helena Cobo, The Pascal matrix in the multivariate Riordan group. Linear Algebra Appl. 635 (2022), 1–23.
- José Ignacio Cogolludo-Agustín, Tamás László, Jorge Martín-Morales and András Némethi, Local invariants of minimal generic curves on rational surfaces. p-adic analysis, arithmetics, and singularities, 225–230, Contemp. Math. 778, Amer. Math. Soc., Providence, RI, 2022. C. Galindo, A. Melle-Hernandez, J.J. Moyano and W.A. Zúñiga-Galindo (eds.)
- C. Galindo, A. Melle-Hernandez, J.J. Moyano and W.A. Zúñiga-Galindo (eds.), p-adic analysis, arithmetics, and singularities, 225–230, Contemp. Math. 778, Amer. Math. Soc., Providence, RI, 2022.
- M. González Villa, D. Jaramillo-Vélez, L. Núñez-Betancourt, F-thresholds and test ideals of Thom-Sebastiani type polynomials. Proc AMS Volume 150, Number 9, September 2022, Pages 3739–3755.
- Juan Viu-Sos, An introduction to -adic and motivic integration, zeta functions and invariants of singularities. p-adic analysis, arithmetics, and singularities, 225–230, Contemp. Math. 778, Amer. Math. Soc., Providence, RI, 2022. C. Galindo, A. Melle-Hernandez, J.J. Moyano and W.A. Zúñiga-Galindo (eds.)
2021
- Norbert A’Campo, Javier Fernandez de Bobadilla, Maria Pe Pereira, Pablo Portilla Cuadrado
Tête-à-tête twists, monodromies and representation of elements of Mapping Class Group, Ann. Inst. Fourier Tome 71 (2021) no. 6, pp. 2649–2710. - Maria Alberich-Carramiñana, Patricio Almirón, Guillem Blanco, Alejandro Melle-Hernández
The minimal Tjurina number of irreducible germs of plane curve singularities, Indiana University Mathematics Journal 70 No. 4 (2021), 1211–1220.
arXiv:1904.02652. - Marta Agustin Vicente, Kevin Langlois,
Decomposition theorem and torus actions of complexity one, European Journal of Mathematics 7 (2021), 163–204. - P. Almirón, J.J. Moyano-Fernández: A formula for the conductor of a semimodule of a numerical semigroup with two generators, Semigroup Forum 103 (2021) 278–285.
- P. Almirón: The 4/3 problem for germs of isolated plane curve singularities, Extended Abstracts GEOMVAP 2019. Birkhäuser. Trends in Mathematics. 2021, 15, 139–143.
- E. Artal Bartolo, J. I. Cogolludo-Agustín, J. Martín-Morales
Cremona transformations of weighted projective planes, Zariski pairs, and rational cuspidal curves, Singularities and their interaction with geometry and low dimensional topology?in honor of András Némethi, 117?157, Trends Math., Birkhäuser/Springer, Cham, [2021], ©2021.
arXiv:2001.07232 - Avendaño, Martin; Marco, Miguel A structural attack to the DME-(3,2,q) cryptosystem. Finite Fields Appl. 71 (2021), Paper No. 101810, 13 pp.
- Helena Cobo, Hussein Mourtada, Jet schemes of quasi-ordinary surface singularities, Nagoya Math. J. 242 (2021), 77–164.
- Helena Cobo, On (yet another) family of Stirling polynomials of the second kind. Integers 21 (2021), Paper No. A106, 19 pp.
- Jose I. Cogolludo, Anatoly Libgober, Free quotients of fundamental groups of smooth quasi-projective varieties. Proc. Edinb. Math. Soc. (2) 64 (2021), no. 4, 924?946.
- Julián Cuevas-Rozo, José Divasón, Miguel Marco-Buzunáriz, Ana Romero, A Kenzo interface for algebraic topology computations in SageMath. ACM Commun. Comput. Algebra 53 (2019), no. 2, 61–64.
- Antonio Garvin, Rocio Gonzalez-Diaz, Miguel Angel Marco, Belen Medrano, Making Sullivan algebras minimal through chain contractions. Mediterr. J. Math. 18 (2021), no. 2, Paper No. 43, 16 pp.
- Victor Manero, Miguel Á. Marco Buzunáriz, Effective computation of degree bounded minimal models of GCDAs. J. Softw. Algebra Geom. 10 (2020), no. 1, 25?39.
- Marco-Buzunariz, Miguel Angel; Pe Pereira, Maria; Irreducibility of analytic arc-sections of hypersurface singularities. Period. Math. Hungar. 82 (2021), no. 2, 136–148.
- Jorge Martín-Morales, Willem Veys, Lena Vos,
The monodromy conjecture for a space monomial curve with a plane semigroup, Publ. Mat. 65 (2021), 529–597. - Irma Pallarés, Guillermo Peñafort Sanchis, Image Milnor number formulas for weighted-homogeneous map-germs. Results Math. 76 (2021), no. 3, Paper No. 152, 23 pp.
- Pablo Portilla Cuadrado, Baldur Sigurðsson, Mixed tête-à-tête twists as monodromies associated with holomorphic function germs.
Geom. Dedicata 210 (2021), 43–64. - Pablo Portilla Cuadrado, Positive factorizations of pseudoperiodic homeomorphisms. Math. Ann. 379 (2021), no. 3-4, 1173–1203.
- Pablo Portilla Cuadrado, Nick Salter, Vanishing cycles, plane curve singularities and framed mapping class groups. Geom. Topol. 25 (2021), no. 6, 3179?3228.
2020
- Marta Agustín Vicente, Javier Fernandez de Bobadilla, Javier
Intersection Space Constructible Complexes
Doc. Math. 25, 1653–1725 (2020) - Enrique Artal Bartolo, Benoit Guerville-Ballé, Juan Viu-Sos, Fundamental Groups of Real Arrangements and Torsion in the Lower Central Series Quotients. Exp. Math. 29 (2020), no. 1, 28–35.
- Enrique Artal Bartolo, Jose I. Cogolludo-Agustin, Jorge Martín-Morales
Triangular curves and cyclotomic Zariski tuples,
Collect. Math. 71 (2020), no. 3, 427–441. - Enrique Artal Bartolo, Jose I. Cogolludo-Agustin, Daniel Matei, Characteristic varieties of graph manifolds and quasi-projectivity of fundamental groups of algebraic links. Eur. J. Math. 6 (2020), no. 3, 624–645.
- Helena Cobo, M. J. Soto, José M. Tornero, Blurred combinatorics in resolution of singularities: (A little) Beyond the characteristic polytope. Kyoto J. Math. 60 (2020), no. 1, 269–289.
- Helena Cobo, M. J. Soto, José M. Tornero, Combinatorics and their evolution in resolution of embedded algebroid surfaces. Asian J. Math. 24 (2020), no. 5, 725–757.
- Javier Fernández de Bobadilla, Maria Pe Pereira,
The Nash problem from a geometric and topological perspective, in David Bourqui, Johannes Nicaise, and Julien Sebag (Editors) Arc Schemes and Singularities, pp. 173–195. World Scienttific, 2020.
arXiv:1805.01418 - Edwin León-Cardenal, Jorge Martín-Morales, Willem Veys, Juan Viu-Sos Motivic zeta functions on ?-Gorenstein varieties. Adv. Math. 370 (2020), 107–192,
- Jorge Martín-Morales, Hussein Mourtada, Willem Veys, Lena Vos, Note on the monodromy conjecture for a space monomial curve with a plane semigroup. C. R. Math. Acad. Sci. Paris 358 (2020), no. 2, 177?187.
2019
- P. Almirón, G. Blanco, A note on a question of Dimca and Greuel. C. R. Math. Acad. Sci. Paris 357 (2019), no. 2, 205–208.
- E. Artal Bartolo, S. Isaza Peñaloza, M.A. Marco-Buzunáriz, Heegaard splittings of graph manifolds. Ann. Mat. Pura Appl. (4) 198 (2019), no. 3, 727–747.
- Benoit Guerville-Ballé, Juan Viu-Sos, Configurations of points and topology of real line arrangements. Math. Ann. 374 (2019), no. 1-2, 1–35.
- J.I. Cogolludo-Agustín, J. Martín-Morales, The correction term for the Riemann-Roch formula of cyclic quotient singularities and associated invariants. Rev. Mat. Complut. 32 (2019), no. 2, 419–450.
- Julián Cuevas-Rozo, Jose Divasón, Miguel Marco-Buzunáriz, Ana Romero, A Kenzo interface for algebraic topology computations in SageMath. ACM Commun. Comput. Algebra 53 (2019), no. 2, 61–64.
- J. Fernández de Bobadilla, J.J. Nuño-Ballesteros, G. Peñafort-Sanchis, A Jacobian module for disentanglements and applications to Mond’s conjecture. Rev. Mat. Complut. 32 (2019), no. 2, 395–418.
- E. García Barroso, P.D. González Pérez, P. Popescu-Pampu, The valuative tree is the projective limit of Eggers-Wall trees. Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM 113 (2019), no. 4, 4051–4105.
- E. García Barroso, P.D. González Pérez, P. Popescu-Pampu, M. Ruggiero, Ultrametric properties for valuation spaces of normal surface singularities. Trans. Amer. Math. Soc. 372 (2019), no. 12, 842–8475.
- S. M. Gusein-Zade, I. Luengo, A. Melle-Hernandez; Grothendieck ring of varieties with actions of finite groups. Proc. Edinb. Math. Soc. (2) 62 (2019), no. 4, 925–948.
- S. M. Gusein-Zade, I. Luengo, A. Melle-Hernández,
Generalized orbifold Euler characteristics on the Grothendieck ring of varieties with actions of finite groups, Symmetry 2019, 11(7), 902 - Miguel A. Marco-Buzunáriz, Exact computations with approximate methods. Lond. Math. Soc. Newsl. No. 483 (2019), 31–35.
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2018
- M. Agustin Vicente, K. Langlois,
On intersection cohomology with torus actions of complexity one.
Rev. Mat. Complut. 31 (2018), no. 1, 163–186. - E. Artal Bartolo, P. Cassou-Noguès, I. Luengo, A. Melle-Hernández, On the b-exponents of generic isolated plane curve singularities. J. Singul. 18 (2018), 36–49.
- E. Artal Bartolo, J.I. Cogolludo-Agustín, J. Martín-Morales, Coverings of rational ruled normal surfaces. Singularities, algebraic geometry, commutative algebra, and related topics, 343–373, Springer, Cham, 2018.
- E. Artal Bartolo, J.I. Cogolludo-Agustín, J. Martín-Morales, Wirtinger curves, Artin groups, and hypocycloids. Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM 112 (2018), no. 3, 641–656.
- E. Artal Bartolo, A.F. Costa, M. Izquierdo, Professor María Teresa Lozano and universal links [foreword to special issue dedicated to María Teresa Lozano commemorating her 70th birthday]. Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM 112 (2018), no. 3, 615–620.
- R. Blasco-García, J.I. Cogolludo-Agustín, Quasi-projectivity of even Artin groups. Geom. Topol. 22 (2018), no. 7, 3979–4011.
- J. Fernández de Bobadilla, A. Fernandes, E.J. Sampaio, Multiplicity and degree as bi-Lipschitz invariants for complex sets. J. Topol. 11 (2018), no. 4, 958–966.
- E. García Barroso, P.D. González Pérez, P. Popescu-Pampu, Ultrametric spaces of branches on arborescent singularities. Singularities, algebraic geometry, commutative algebra, and related topics, 55–106, Springer, Cham, 2018.
- M. González Villa, Anatoly Libgober, Lauren?iu Maxim, Motivic zeta functions and infinite cyclic covers. Local and global methods in algebraic geometry, 117–141, Contemp. Math., 712, Amer. Math. Soc., Providence, RI, 2018.
- M. González Villa, G. Kennedy, Gary, L.J. McEwan, A recursive formula for the motivic Milnor fiber of a plane curve. Singularities, algebraic geometry, commutative algebra, and related topics, 203–218, Springer, Cham, 2018.
- Leire Gorrochategui Gregorio, Monodromy conjecture and the Hessian differential form. Topology Appl. 234 (2018), 452?456.
- S. M. Gusein-Zade, I. Luengo, A. Melle-Hernandez; Power structure over the Grothendieck ring of maps. Rev. Mat. Complut. 31 (2018), no. 3, 595–609.
- S. M. Gusein-Zade, I. Luengo, A. Melle-Hernandez; The universal Euler characteristic of V-manifolds. (Russian) Funktsional. Anal. i Prilozhen. 52 (2018), no. 4, 72–85; translation in Funct. Anal. Appl. 52 (2018), no. 4, 297–307
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2017
- E. Artal Bartolo, P. Cassou-Noguès, I. Luengo, A. Melle-Hernández, Yano’s conjecture for 2-Puiseux pair irreducible plane curve singularities, Publ. Res. Inst. Math. Sci. 53 (2017), no. 1, 211–239.
- E. Artal Bartolo, J.I. Cogolludo-Agustín, Some open questions on arithmetic Zariski pairs. Singularities in geometry, topology, foliations and dynamics, 31–54, Trends Math., Birkhäuser/Springer, Cham, 2017.
- E. Artal Bartolo, J.I. Cogolludo-Agustín, B. Guerville-Ballé, M. Marco-Buzunáriz; ; An arithmetic Zariski pair of line arrangements with non-isomorphic fundamental group. Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Math. RACSAM 111 (2017), no. 2, 377–402.
- E. Artal-Bartolo, J.I. Cogolludo-Agustin, A. Libgober Albanese varieties of cyclic covers of the projective plane and orbifold pencils, Nagoya Math. J. 227 (2017), 189–213.
- Enrique, Artal Bartolo, Vincent Florens, Benoît Guerville-Ballé, A topological invariant of line arrangements. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 17 (2017), no. 3, 949?968.
- Enrique Artal Bartolo, Leire Gorrochategui, Ignacio Luengo, Alejandro Melle-Hernández
On some conjectures about free and nearly free divisors, Singularities and Computer Algebra, Festschrift for Gert-Martin Greuel on the Occasion of his 70th Birthday: Decker, Wolfram, Pfister, Gerhard, Schulze, Mathias (Eds.) Springer Verlag, 2017. Pags. 1–19. - Javier Fernández de Bobadilla, Jawad Snoussi, Mark Spivakovsky, Equisingularity in one-parameter families of generically reduced curves.
Int. Math. Res. Not. IMRN 2017, no. 5, 1589–1609. - J. Fernández de Bobadilla, M. Pe Pereira, P. Popescu-Pampu, On the generalized Nash problem for smooth germs and adjacencies of curve singularities. Adv. Math. 320 (2017), 1269–1317.
- Evelia Rosa García Barroso, Pedro Daniel González Pérez, Patrick Popescu-Pampu
Variations on inversion theorems for Newton-Puiseux series, Mathematische Annalen
August 2017, Volume 368, Issue 3–4, pp 1359–1397. - Enrique Artal Bartolo, Santiago López de Medrano, María Teresa Lozano, The dodecahedron: from intersections of quadrics to Borromean rings. A mathematical tribute to Professor José María Montesinos Amilibia, 85–103, Dep. Geom. Topol. Fac. Cien. Mat. UCM, Madrid, 2016.
- J.I. Cogolludo-Agustin, J. Martin-Morales, J. Ortigas-Galindo; Numerical adjunction formulas for weighted projective planes and lattice point counting. Kyoto J. Math. 56 (2016), no. 3, 575–598.
- S. M. Gusein-Zade, I. Luengo, A. Melle-Hernandez; Equivariant versions of higher order orbifold Euler characteristics. Mosc. Math. J. 16 (2016), no. 4, 751–765.
- Manuel González Villa, Anatoly Libgober, Laurentiu Maxim; Motivic infinite cyclic covers. Adv. Math. 298 (2016), 413–447.
- Jorge Martín-Morales, Semistable reduction of a normal crossing Q-divisor. Ann. Mat. Pura Appl. (4) 195 (2016), no. 5, 1749–1769.
2016
2015
- Enrique Artal Bartolo, José Ignacio Cogolludo-Agustín, Daniel Matei; Arrangements of hypersurfaces and Bestvina-Brady groups. Groups Geom. Dyn. 9 (2015), no. 1, 103–131.
- Enrique Artal Bartolo, Alexandru Dimca; On fundamental groups of plane curve complements. Ann. Univ. Ferrara Sez. VII Sci. Mat. 61 (2015), no. 2, 255–262.
- Avendano, Martín; Ortigas-Galindo, Jorge; Interpolation of ideals. Rev. Mat. Iberoam. 31 (2015), no. 1, 291–302.
- E. Artal Bartolo, I. Luengo, A. Melle-Hernández; High-school algebra of the theory of dicritical divisors: atypical fibres for special pencils and polynomials, Journal of Algebra and Its Applications Vol. 14, No. 09, 1540009 (2015). See also arXiv:1408.0743
- Cassou-Noguès, Pierrette; Daigle, Daniel; Field generators in two variables and birational endomorphisms of A2, Journal of Algebra and Its Applications Vol. 14, No. 09, 1540005 (2015)
- Cassou-Noguès, Pierrette; Daigle, Daniel; Very good and very bad field generators. Kyoto J. Math. 55 (2015), no. 1, 187–218.
- S. M. Gusein-Zade, I. Luengo, A. Melle-Hernandez; Higher order generalized Euler characteristics and generating series. Journal of Geometry and Physics
Volume 95, September 2015, Pages 137–143 arXiv:1303.5574 - S. M. Gusein-Zade, I. Luengo, A. Melle-Hernandez; On an equivariant version of the zeta function of a transformation. Arnold Math. J. 1 (2015), no. 2, 127–140.
- Gusein-Zade, S. M.; Luengo, I.; Melle-Hernández, A. Higher-order orbifold Euler characteristics for compact Lie group actions. Proc. Roy. Soc. Edinburgh Sect. A 145 (2015), no. 6, 1215?1222.
- Martín-Morales, Jorge; 2-Jordan blocks for the eigenvalue ?=1 of Yomdin-Lê surface singularities. C. R. Math. Acad. Sci. Paris 353 (2015), no. 2, 161–165.
- Rodríguez González, Beatriz; Roig, Agustí; Godement resolutions and sheaf homotopy theory. Collect. Math. 66 (2015), no. 3, 423–452.
2014
- Artal Bartolo, Enrique; Martín-Morales, Jorge; Ortigas-Galindo, Jorge, Cartier and Weil divisors on varieties with quotient singularities. Internat. J. Math. 25 (2014), no. 11, 20 pp. See also arXiv:1104.5628
- Artal Bartolo, Enrique; Cogolludo-Agustín, José I.; Libgober, Anatoly Depth of cohomology support loci for quasi-projective varieties via orbifold pencils. Rev. Mat. Iberoam. 30 (2014), no. 2, 373–404. See also arXiv:1203.2663
- Abhyankar, Shreeram S.; Artal Bartolo, Enrique, Analytic theory of curvettes and dicriticals. Rev. Mat. Complut. 27 (2014), no. 2, 461–499.
- Artal Bartolo, Enrique; Cogolludo-Agustín, José Ignacio; Ortigas-Galindo, Jorge, Kummer covers and braid monodromy. J. Inst. Math. Jussieu 13 (2014), no. 3, 633–670.
- Artal Bartolo, Enrique; Martín-Morales, Jorge; Ortigas-Galindo, Jorge, Intersection theory on abelian-quotient V-surfaces and Q-resolutions. J. Singul. 8 (2014), 11–30. See also arXiv:1105.1321
- Cassou-Noguès, Pierrette; Veys, Willem; Newton trees for ideals in two variables and applications. Proc. Lond. Math. Soc. (3) 108 (2014), no. 4, 869–910. See also arXiv:1310.8260.
- Cassou-Noguès, Pierrette; Daigle, Daniel; Compositions of birational endomorphisms of the affine plane. Pacific J. Math. 272 (2014), no. 2, 353–394.
- Cogolludo-Agustín, Jose-Ignacio; Libgober, Anatoly, Mordell-Weil groups of elliptic threefolds and the Alexander module of plane curves. J. Reine Angew. Math. 697 (2014), 15–55.
- Cogolludo-Agustín, José Ignacio; Martín-Morales, Jorge; Ortigas-Galindo, Jorge; Local invariants on quotient singularities and a genus formula for weighted plane curves. Int. Math. Res. Not. IMRN 2014, no. 13, 3559–3581.
- Fernández de Bobadilla, Javier; Menegon Neto, Aurélio; The boundary of the Milnor fibre of complex and real analytic non-isolated singularities. Geom. Dedicata 173 (2014), 143–162. See also arXiv:1106.4956.
- Fernandez de Bobadilla, Javier; Fresan, Javier; Muñoz, Vicente; Murillo, Aniceto; The Hilali Conjecture for hyperelliptic spaces, Mathematics Without Boundaries
2014, pp 21-36. See also arXiv:1205.1455 - González Pérez, Pedro D.; González Villa, Manuel; Motivic Milnor fiber of a quasi-ordinary hypersurface. J. Reine Angew. Math. 687 (2014), 159–205. See also arXiv:1105.2480.
- González Pérez, Pedro D.; Teissier, Bernard; Toric geometry and the Semple-Nash modification. Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Math. RACSAM 108 (2014), no. 1, 1–48.
- González Villa, Manuel; Lemahieu, Ann; The monodromy conjecture for plane meromorphic germs. Bull. Lond. Math. Soc. 46 (2014), no. 3, 441–453. See also arXiv:1301.4878
- González Villa, Manuel; Newton process and semigroups of irreducible quasi-ordinary power series. Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Math. RACSAM 108 (2014), no. 1, 259–279.
- Martín-Morales, Jorge; Embedded Q-resolutions for Yomdin-Lê surface singularities. Israel J. Math. 204 (2014), no. 1, 97–143.
- Maria Pe Pereira, Patrick Popescu-Pampu; Fibonacci numbers and self-dual lattice structures for plane branches Bridging Algebra, Geometry, and Topology, Editors: Ibadula, Denis, Veys, Willem (Eds.), Springer Proceedings in Mathematics & Statistics 2014. pp. 203–230. See also arXiv:1303.3596
- Ortigas-Galindo, Jorge; Generators of the cohomology algebra of the complement to a rational algebraic curve in the weighted projective plane P2?. C. R. Math. Acad. Sci. Paris 352 (2014), no. 1, 65–70.
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2013
- Abhyankar, Shreeram S.; Luengo, Ignacio; Spiders and multiplicity sequences. Proc. Amer. Math. Soc. 141 (2013), no. 12, 4071–4085.
- Artal Bartolo, Enrique; Cogolludo-Agustín, José Ignacio; Matei, Daniel Characteristic varieties of quasi-projective manifolds and orbifolds. Geom. Topol. 17 (2013), no. 1, 273–309.
- Artal Bartolo, E.; Cassou-Noguès, Pi.; Luengo, I.; Melle Hernández, A. Quasi-ordinary singularities and Newton trees. Mosc. Math. J. 13 (2013), no. 3, 365–398. See also arXiv:1203.1704
- Cobo Pablos, Helena; Segers Dirk; On the structure of the fibers of truncation morphisms Bull. Lond. Math. Soc. 45 (2013), no. 2, 387–401.
- Cobo Pablos, Helena; González Pérez, Pedro Daniel
Arithmetic motivic Poincaré series of toric varietiesVol. 7 (2013), No. 2, 405Ð430 - Fernández de Bobadilla, Javier ; Miguel Angel Marco-Buzunariz Topology of hypersurface singularities with 3-dimensional critical set Commentarii Mathematici Helvetici Volume 88, Issue 2, 2013, pp. 253–304. DOI: 10.4171/CMH/285. See also arXiv:1002.3774
- Fernandez de Bobadilla, Javier; Topological equisingularity of hypersurface singularities with 1-dimensional critical set. Advances in Math.248, pp. 1199 – 1253. 2013
- González Pérez, Pedro Daniel Correction of a proof in the paper «Approximate roots, toric resolutions and deformations of a plane branch» [MR2648070]. J. Math. Soc. Japan 65 (2013), no. 3, 773–774.
- González Villa, Manuel Inner jumping numbers of non-degenerate polynomials. Math. Z. 274 (2013), no. 3-4, 1113–1118.
- Gusein-Zade, S. M.; Luengo, I.; Melle-Hernández, A. On the pre-lambda-ring structure on the Grothendieck ring of stacks and the power structures over it. Bull. Lond. Math. Soc. 45 (2013), no. 3, 520–528.
- Martín-Morales, Jorge; Monodromy zeta function formula for embedded Q-resolutions. Rev. Mat. Iberoam. 29 (2013), no. 3, 939–967.
- Pereira, María Pe Nash problem for quotient surface singularities. J. Lond. Math. Soc. (2) 87 (2013), no. 1, 177–203.
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2012
- Artal Bartolo, Enrique; Cogolludo-Agustín, Jose Ignacio; Libgober, Anatoly; Characters of fundamental groups of curve complements and orbifold pencils. Configuration spaces, 81–109, CRM Series, 14, Ed. Norm., Pisa, 2012. See also arXiv:1108.0164
- Artal Bartolo, Enrique; Cogolludo Agustín, José I.; Melle Hernández, Alejandro; John Willard Milnor, 1962 Fields Medal. Gac. R. Soc. Mat. Esp. 15 (2012), no. 3, 575–587.
- Artal Bartolo, Enrique; Cogolludo Agustín, José Ignacio; Ortigas-Galindo, Jorge; Computation-free presentation of the fundamental group of generic (p,q)-torus curves. Algebr. Geom. Topol. 12 (2012), no. 3, 1265–1272.
- Artal Bartolo, Enrique; Cogolludo-Agustín, José I.; Matei, Daniel; Orbifold groups, quasi-projectivity and covers. J. Singul. 5 (2012), 33–47.
- Artal Bartolo, Enrique; Martín-Morales, Jorge; Ortigas-Galindo, Jorge; Q-resolutions and intersection numbers. Eleventh International Conference Zaragoza-Pau on Applied Mathematics and Statistics, 13–23, Monogr. Mat. García Galdeano, 37, Prensas Univ. Zaragoza, Zaragoza, 2012.
- Budur, Nero; González-Pérez, Pedro D.; González Villa, Manuel; Log canonical thresholds of quasi-ordinary hypersurface singularities. Proc. Amer. Math. Soc. 140 (2012), no. 12, 4075–4083.
- Cogolludo-Agustín, José Ignacio; Kloosterman, Remke; Mordell-Weil groups and Zariski triples. Geometry and arithmetic, 75–89, EMS Ser. Congr. Rep., Eur. Math. Soc., Zurich, 2012.
- Cobo Pablos, H.; González Pérez, P. D. Motivic Poincaré series, toric singularities and logarithmic Jacobian ideals. J. Algebraic Geom. 21 (2012), no. 3, 495–529.
- Cogolludo Agustín, J. I.; Matei, D. Cohomology algebra of plane curves, weak combinatorial type, and formality. Trans. Amer. Math. Soc. 364 (2012), no. 11, 5765–5790.
- Cassou-Noguès, Pi.; Eyral, C.; Oka, M. Topology of septics with the set of singularities B_{4,4} ? 2A_3 ? 5A_1 and \pi_1-equivalent weak Zariski pairs. Topology Appl. 159 (2012), no. 10-11, 2592–2608.
- Daigle, Daniel; Melle-Hernández, Alejandro Linear systems of rational curves on rational surfaces. Mosc. Math. J. 12 (2012), no. 2, 261–268.
- Fernández de Bobadilla, Javier On algebraic representatives of topological types of analytic hypersurface germs. J. Algebraic Geom. 21 (2012), no. 4, 789–797.
- Fernández de Bobadilla, Javier; Nash problem for surface singularities is a topological problem. Adv. Math. 230 (2012), no. 1, 131–176.
- Fernández de Bobadilla, Javier; Kollár, János; Homotopically trivial deformations. J. Singul. 5 (2012), 85–93.
- Fernández de Bobadilla, Javier; Pereira, Mara Pe; The Nash problem for surfaces. Ann. of Math. (2) 176 (2012), no. 3, 2003–2029.
- Levandovskyy, V.; Martín-Morales, J. Algorithms for checking rational roots of b-functions and their applications. J. Algebra 352 (2012), 408–429.
- Rodríguez González, Beatriz;
Simplicial descent categories. J. Pure Appl. Algebra 216 (2012), no. 4, 775–788. -
2011
- Abhyankar, Shreeram S.; Luengo, Ignacio. Algebraic theory of dicritical divisors. Amer. J. Math. 133 (2011), no. 6, 1713–1732.
- Artal Bartolo, Enrique; Cogolludo-Agustín, José Ignacio; Matei, Daniel.
Quasi-projectivity, Artin-Tits groups, and pencil maps. Topology of algebraic varieties and singularities, 113–136,
Contemp. Math., 538, Amer. Math. Soc., Providence, RI, 2011. (arXiv:1005.5225) - Artal Bartolo, E.; Cassou-Noguès, Pi.; Luengo, I.; Melle Hernández, A.
On u-quasi-ordinary power series: factorization, Newton trees and resultants. Topology of algebraic varieties and singularities, 321–343, Contemp. Math., 538, Amer. Math. Soc., Providence, RI, 2011. - Artal Bartolo, Enrique; Florens, Vincent; Braids in Pau–an introduction. Ann. Math. Blaise Pascal 18 (2011), no. 1, 1Ð14.
- Artal Bartolo, Enrique; Lozano Imízcoz, María Teresa; Sir Vaughan Frederick Randal Jones. Gac. R. Soc. Mat. Esp. 14 (2011), no. 3, 579–591.
- Marco-Buzunáriz, Miguel A. Isotropic subspaces of Orlik-Solomon algebras. Rev. Mat. Complut. 24 (2011), no. 2, 527–538.
- Campillo, A., Cardona, G., Melle-Hernández, A., Veys V. and Zúiga- Galindo, W.A. Zeta functions in algebra and geometry. Papers from the 2nd International Workshop held at the Universitat de les Illes Balears, Palma de Mallorca, May 3Ð7, 2010. Contemporary Mathematics, 566. American Mathematical Society, Providence, RI; Real Sociedad Matemtica Española, Madrid, 2012. xvi+344 pp. ISBN: 978-0-8218-6900-0
- Cogolludo-Agustín, José Ignacio; Braid monodromy of algebraic curves. Ann. Math. Blaise Pascal 18 (2011), no. 1, 141–209.
- Cassou-Noguès, Pierrette; Newton trees at infinity of algebraic curves. Affine algebraic geometry, 1–19, CRM Proc. Lecture Notes, 54, Amer. Math. Soc., Providence, RI, 2011.
- Cassou-Noguès, Pierrette; Libgober, Anatoly; Multivariable Hodge theoretical invariants of germs of plane curves. J. Knot Theory Ramifications 20 (2011), no. 6, 787–805.
- Pierrette Cassou-Noguès, Arkadiusz Ploski; Invariants of plane curve singularities and Newton diagrams Univ. Iagel. Acta Math. No. 49 (2011), 9?34. arXiv:1207.1600
- Fernández de Bobadilla, Javier.
On homotopy types of complements of analytic sets and Milnor fibres. Topology of algebraic varieties and singularities, 363–367,
Contemp. Math., 538, Amer. Math. Soc., Providence, RI, 2011. (arXiv:0907.2176) - S.M. Gusein-Zade, I. Luengo, A. Melle-Hernández. On piecewise isomorphism of some varieties. Azerbaijan Journal of Mathematics 1 (2011) no. 1, pags. 91-96 (arXiv:1103.1562)
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2010
- Andres, Daniel; Brickenstein, Michael; Levandovskyy, Viktor; Martín-Morales, Jorge; Schönemann, Hans; Constructive D-module theory with SINGULAR. Math. Comput. Sci. 4 (2010), no. 2-3, 359–383.
- Artal-Bartolo, E.; Fernández de Bobadilla, J.; Luengo, I.; Melle-Hernández, A.
Milnor number of weighted-Le-Yomdin singularities. Int. Math. Res. Not. 2010, No. 22, 4301-4318 (2010) - Artal Bartolo, E.; Carmona Ruber, J.; Melle-Hernández, A. On a conjecture by A. Durfee. Real and complex singularities, 1–16, London Math. Soc. Lecture Note Ser., 380, Cambridge Univ. Press, Cambridge, 2010. (Pre-publicaciones del Seminario Matemático » García de Galdeano «, N. 2, 2009.)
- Artal Bartolo, Enrique; Cogolludo-Agustín, José Ignacio On the connection between fundamental groups and pencils with multiple fibers. J. Singul. 2 (2010), 1?18.
- Castellanos, Julio Singularities of dimensionality type 1. J. Pure Appl. Algebra 214 (2010), no. 1, 15-27.
- Cobo Pablos, Helena; González Pérez, Pedro D. Geometric motivic Poincaré series of quasi-ordinary sigularities. Math. Proc. Cambridge Philos. Soc. 149 (2010), no. 1, 49-74
- González Pérez, Pedro Daniel Approximate roots, toric resolutions and deformations of a plane branch. J. Math. Soc. Japan 62 (2010), no. 3, 975-1004
- González Pérez, Pedro Daniel; Risler, Jean-Jacques Multi-Harnack smoothings of real plane branches. Ann. Sci. éc. Norm. Supér. (4) 43 (2010), no. 1, 143-183
- Gusein-Zade, S. M.; Luengo, I.; Melle-Hernández, A. On generating series of classes of equivariant Hilbert schemes of fat points. Mosc. Math. J. 10 (2010), no. 3, 593-602, 662
- Marco-Buzunáriz, M. A.; Martín-Morales, J. Graded Betti numbers of the logarithmic derivation module. Comm. Algebra 38 (2010), no. 11, 4348–4361.
- Melle-Hernández, A.; Torrelli, T.; Veys, Willem; Monodromy Jordan blocks, b-functions and poles of zeta functions for germs of plane curves. J. Algebra 324 (2010), no. 6, 1364-1382
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2009
- Andres, Daniel; Levandovskyy, Viktor; Morales, Jorge Martín; Principal intersection and Bernstein-Sato polynomial of an affine variety. ISSAC 2009?Proceedings of the 2009 International Symposium on Symbolic and Algebraic Computation, 231?238, ACM, New York, 2009.
- Cassou-Noguès, Pierrette; Koras, Mariusz; Russell, Peter Closed embeddings of C* in C^2. I. J. Algebra 322 (2009), no. 9, 2950-3002.
- Cassou-Noguès, Pierrette; Miyanishi, Masayoshi Smoothness of the images of members of a linear system under an endomorphism of the affine plane. J. Pure Appl. Algebra 213 (2009), no. 5, 711-723.
- González Pérez, P. D.; Hernando, F. Quasi-ordinary singularities, essential divisors and Poincaré series. J. Lond. Math. Soc. (2) 79 (2009), no. 3, 780-802.
- Marco Buzunáriz, Miguel Ángel, A description of the resonance variety of a line combinatorics via combinatorial pencils. Graphs Combin. 25 (2009), no. 4, 469-48
- Melle-Hernández, A.; Torrelli, T.; Veys, Willem, On ‘maximal’ poles of zeta functions, roots of b-functions, and monodromy Jordan blocks. J. Topol. 2 (2009), no. 3, 517-526,
- Recent trends in cryptography. Proceedings of the UIMP-RSME Santaló Summer School held at the Universidad Internacional Menéndez Pelayo, Santander, July 11-15, 2005. Edited by Ignacio Luengo. Contemporary Mathematics, 477. American Mathematical Society, Providence, RI; Real Sociedad Matemática Espaola, Madrid, 2009. viii+141 pp. ISBN: 978-0-8218-3984-3.
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2008
- Artal Bartolo, Enrique; Cogolludo, José Ignacio; Tokunaga, Hiro-o A survey on Zariski pairs. Algebraic geometry in East AsiaÑHanoi 2005, 1-100, Adv. Stud. Pure Math., 50, Math. Soc. Japan, Tokyo, 2008.
- Artal Bartolo, Enrique; Cogolludo, José Ignacio; Tokunaga, Hiro-o Pencils and infinite dihedral covers of P2. Proc. Amer. Math. Soc. 136 (2008), no. 1, 21-29 (electronic).
- Artal Bartolo, E.; Cassou-Noguès, Pi.; Luengo, I.; Melle-Hernández, A. On the log-canonical threshold for germs of plane curves. Singularities I, 1-14, Contemp. Math., 474, Amer. Math. Soc., Providence, RI, 2008. Preprint
- Fernández de Bobadilla, Javier; Pereira, María Pe, Equisingularity at the normalisation. J. Topol. 1 (2008), no. 4, 879-909.
- Fernández de Bobadilla, Javier; Gaffney, Terence The Le numbers of the square of a function and their applications. J. Lond. Math. Soc. (2) 77 (2008), no. 3, 545-557
- Gusein-Zade, S. M.; Luengo, I.; Melle-Hernández, A. An equivariant version of the monodromy zeta function. Geometry, topology, and mathematical physics, 139-146, Amer. Math. Soc. Transl. Ser. 2, 224, Amer. Math. Soc., Providence, RI, 2008.
- Levandovskyy, Viktor; Martín Morales, Jorge; Computational D-module theory with SINGULAR, comparison with other systems and two new algorithms. ISSAC 2008, 173?180, ACM, New York, 2008.
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2007
- Artal Bartolo, Enrique; Carmona Ruber, Jorge; Cogolludo Agustín, José Ignacio Effective invariants of braid monodromy. Trans. Amer. Math. Soc. 359 (2007), no. 1, 165-183 (electronic).
- Cassou-Noguès, Pierrette A note on: «Note on boundary obstruction to Jacobian conjecture of two variables» [Acta Math. Vietnam. 32 (2007), no. 2-3, 123-139; MR2365035] by M. Oka. Acta Math. Vietnam. 32 (2007), no. 2-3, 243-246.
- Cassou-Noguès, Pierrette; Russell, Peter Birational morphisms C^2 –> C^2 and affine ruled surfaces. Affine algebraic geometry, 57-105, Osaka Univ. Press, Osaka, 2007.
- Cogolludo Agustín, J. I.; Florens, V. Twisted Alexander polynomials of plane algebraic curves. J. Lond. Math. Soc. (2) 76 (2007), no. 1, 105-121.
- González Pérez, P. D. Bijectiveness of the Nash map for quasi-ordinary hypersurface singularities. Int. Math. Res. Not. IMRN 2007, no. 19, Art. ID rnm076, 13 pp.
- Gusein-Zade, S. M.; Luengo, I.; Melle-Hernández, A. On the power structure over the Grothendieck ring of varieties and its applications. (Russian) Tr. Mat. Inst. Steklova 258 (2007), Anal. i Osob. Ch. 1, 58–69; translation in Proc. Steklov Inst. Math. 258 (2007), no. 1, 53-64 ISBN: 978-5-02-036672-5; 978-5-02-035888-1
- Fernández de Bobadilla, J.; Luengo, I.; Melle-Hernández, A.; Némethi, A. On rational cuspidal plane curves, open surfaces and local singularities. Singularity theory, 411-442, World Sci. Publ., Hackensack, NJ, 2007.
- Fernández de Bobadilla, Javier; Luengo, Ignacio; Melle Hernández, Alejandro; Némethi, Andras, Classification of rational unicuspidal projective curves whose singularities have one Puiseux pair. Real and complex singularities, 31-45, Trends Math., Birkhuser, Basel, 2007.
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2006
- Artal Bartolo, Enrique; Cogolludo, José Ignacio; Tokunaga, Hiro-o, Nodal degenerations of plane curves and Galois covers. Geom. Dedicata 121 (2006), 129-142
- Fernández de Bobadilla, Javier A reformulation of Le’s conjecture. Indag. Math. (N.S.) 17 (2006), no. 3, 345-352.
- Gusein-Zade, S. M.; Luengo, I.; Melle-Hernández, A. Integration over a space of non-parametrized arcs, and motivic analogues of the monodromy zeta function. (Russian) Tr. Mat. Inst. Steklova 252 (2006), Geom. Topol., Diskret. Geom. i Teor. Mnozh., 71–82; translation in Proc. Steklov Inst. Math. 2006, no. 1 (252), 63-73
- Gusein-Zade, S. M.; Luengo, I.; Melle-Hernández, A. Power structure over the Grothendieck ring of varieties and generating series of Hilbert schemes of points. Michigan Math. J. 54 (2006), no. 2, 353-359.
- Artal Bartolo, Enrique; Carmona Ruber, Jorge; Cogolludo Agustín, José Ignacio; Marco Buzunáriz, Miguel ángel Invariants of combinatorial line arrangements and Rybnikov’s example. Singularity theory and its applications, 1-34, Adv. Stud. Pure Math., 43, Math. Soc. Japan, Tokyo, 2006.
- Artal Bartolo, Enrique; Luengo, Ignacio; Melle Hernández, Alejandro Superisolated surface singularities. Singularities and computer algebra, 13-39, London Math. Soc. Lecture Note Ser., 324, Cambridge Univ. Press, Cambridge, 2006.
- Fernández de Bobadilla, J.; Luengo-Velasco, I.; Melle-Hernández, A.; Némethi, A. On rational cuspidal projective plane curves. Proc. London Math. Soc. (3) 92 (2006), no. 1, 99-138.
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2005
- Artal Bartolo, Enrique; Cassou-Noguès, Pierrette; Luengo, Ignacio; Melle Hernández, Alejandro Quasi-ordinary power series and their zeta functions. Mem. Amer. Math. Soc. 178 (2005), no. 841, vi+85 pp.
- Artal Bartolo, Enrique; Carmona Ruber, Jorge; Cogolludo-Agustín, José Ignacio; Marco Buzunáriz, Miguel, Topology and combinatorics of real line arrangements. Compos. Math. 141 (2005), no. 6, 1578-1588.
- A. Campillo, J. Castellanos, Curve Singularities. An Algebraic and Geometric aproach. Ed. Hermann, Paris (Francia), 1-132, 2005.
- Cassou-Noguès, Pierrette Bad field generators. Affine algebraic geometry, 77-83, Contemp. Math., 369, Amer. Math. Soc., Providence, RI, 2005.
- Castellanos, Julio The semigroup of a space curve singularity. Pacific J. Math. 221 (2005), no. 2, 227-251.
- Castellanos, Angel; Castellanos, Julio Algorithm for the semigroup of a space curve singularity. Semigroup Forum 70 (2005), no. 1, 44-60.
- Fernández de Bobadilla, Javier Answers to some equisingularity questions. Invent. Math. 161 (2005), no. 3, 657-675.
- Fernández de Bobadilla, Javier Moduli spaces of polynomials in two variables. Mem. Amer. Math. Soc. 173 (2005), no. 817, x+136 pp.
- Fernández de Bobadilla, Javier A new geometric proof of Jung’s theorem on factorisation of automorphisms of C2. Proc. Amer. Math. Soc. 133 (2005), no. 1, 15-19 (electronic).
- García Barroso, E. R.; González-Pérez, P. D. Decomposition in bunches of the critical locus of a quasi-ordinary map. Compos. Math. 141 (2005), no. 2, 461-486.
- Luengo-Velasco, I.; Melle-Hernández, A.; Némethi, A. Links and analytic invariants of superisolated singularities. J. Algebraic Geom. 14 (2005), no. 3, 543-565.
- Luengo, Ignacio; Pichon, Anne, Le’s conjecture for cyclic covers. Singularités Franco-Japonaises, 163-190, Sémin. Congr., 10, Soc. Math. France, Paris, 2005.
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2004
- Artal, Enrique; Carmona, Jorge; Cogolludo, Jose Ignacio; Escario, Mario; Fernández de Bobadilla, Javier; Luengo, Ignacio; Melle, Alejandro Topological and arithmetical properties of rational plane curves. Mathematical contributions in honor of Professor Enrique Outerelo Domínguez (Spanish), 223-242, Homen. Univ. Complut., Editorial Complutense, Madrid, 2004.
- Artal Bartolo, Enrique; Carmona Ruber, Jorge; Cogolludo Agustín, José Ignacio Essential coordinate components of characteristic varieties. Math. Proc. Cambridge Philos. Soc. 136 (2004), no. 2, 287-299
- Artal Bartolo, Enrique; Tokunaga, Hiro-o, Zariski k-plets of rational curve arrangements and dihedral covers. Topology Appl. 142 (2004), no. 1-3, 227-233.
- Fernández de Bobadilla, Javier Topological finite-determinacy of functions with non-isolated singularities. Comment. Math. Helv. 79 (2004), no. 4, 659-688.
- Fernández de Bobadilla, Javier Relative morsification theory. Topology 43 (2004), no. 4, 925-982.
- González Pérez, Pedro Daniel; Gonzalez-Sprinberg, Gérard Analytical invariants of quasi-ordinary hypersurface singularities associated to divisorial valuations. Kodai Math. J. 27 (2004), no. 2, 164-173.
- Gusein-Zade, S. M.; Luengo, I.; Melle-Hernández, A. A power structure over the Grothendieck ring of varieties. Math. Res. Lett. 11 (2004), no. 1, 49-57.
- Luengo, Ignacio; López, Bartolomé Algebraic curves over F3 with many rational points. Algebra, arithmetic and geometry with applications (West Lafayette, IN, 2000), 619-626, Springer, Berlin, 2004.
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2003
- Artal Bartolo, Enrique; Carmona Ruber, Jorge; Cogolludo Agustín, José Ignacio, Braid monodromy and topology of plane curves. Duke Math. J. 118 (2003), no. 2, 261-278
- Artal Bartolo, E.; Cassou-Noguès, P.; Maugendre, H. Quotients jacobiens d’applications polynomiales. (French) [Jacobian quotients of polynomial maps] Ann. Inst. Fourier (Grenoble) 53 (2003), no. 2, 399-428.
- Campillo, Antonio; Castellanos, Julio On Puiseux exponents for higher dimensional singularities. Topics in algebraic and noncommutative geometry (Luminy/Annapolis, MD, 2001), 91Ð102, Contemp. Math., 324, Amer. Math. Soc., Providence, RI, 2003.
- Fernández de Bobadilla, Javier Approximations of non-isolated singularities of finite codimension with respect to an isolated complete intersection singularity. Bull. London Math. Soc. 35 (2003), no. 6, 812-816.
- González Pérez, Pedro D. Toric embedded resolutions of quasi-ordinary hypersurface singularities. Ann. Inst. Fourier (Grenoble) 53 (2003), no. 6, 1819-1881.
- González Pérez, P. D.; McEwan, L. J.; Némethi, A. The zeta-function of a quasi-ordinary singularity. II. Topics in algebraic and noncommutative geometry (Luminy/Annapolis, MD, 2001), 109-122, Contemp. Math., 324, Amer. Math. Soc., Providence, RI, 2003.
- González Pérez, Pedro Daniel, The semigroup of a quasi-ordinary hypersurface. J. Inst. Math. Jussieu 2 (2003), no. 3, 383-399
- González-Ramírez, Jorge A.; Luengo, Ignacio Deformations of functions without real critical points. Comm. Algebra 31 (2003), no. 9, 4255-4266.
2002
- Artal Bartolo, Enrique; Carmona Ruber, Jorge; Cogolludo Agustín, José Ignacio On sextic curves with big Milnor number. Trends in singularities, 1-29, Trends Math., Birkhuser, Basel, 2002.
- Castellanos, Julio Complete ideals and singularities of space curves. Math. Z. 239 (2002), no. 4, 777-802.
- Cogolludo-Agustín, José Ignacio Topological invariants of the complement to arrangements of rational plane curves. Mem. Amer. Math. Soc. 159 (2002), no. 756, xiv+75 pp.
- Artal, E.; Carmona, J.; Cogolludo, J. I.; Tokunaga, Hiro-O Sextics with singular points in special position. J. Knot Theory Ramifications 10 (2001), no. 4, 547-578.
- Artal Bartolo, E.; Cassou-Noguès, P.; Luengo, I.; Melle Hernández, A. Monodromy conjecture for some surface singularities. Ann. Sci. école Norm. Sup. (4) 35 (2002), no. 4, 605-640.
- Artal Bartolo, E.; Cassou-Noguès, P.; Luengo, I.; Melle Hernández, A. The Denef-Loeser zeta function is not a topological invariant. J. London Math. Soc. (2) 65 (2002), no. 1, 45-54.
- González Pérez, Pedro Daniel; Teissier, Bernard, Embedded resolutions of non necessarily normal affine toric varieties. C. R. Math. Acad. Sci. Paris 334 (2002), no. 5, 379-382
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2001
- Almira, J. M.; González, P. D. A constructive proof of a homomorphism between P^3 and SO(3). (Spanish) Gac. R. Soc. Mat. Esp. 4 (2001), no. 2, 366-374.
- Campillo, Antonio; Castellanos, Julio Valuative Arf characteristic of singularities. Michigan Math. J. 49 (2001), no. 3, 435Ð450.
- Cassou-Noguès, Pierrette The effect of rational maps on polynomial maps. Polynomial automorphisms and related topics (Krakw, 1999). Ann. Polon. Math. 76 (2001), no. 1-2, 21-31.
- Gusein-Zade, Sabir; Luengo, Ignacio; Melle Hernández, Alejandro Bifurcations and topology of meromorphic germs. New developments in singularity theory (Cambridge, 2000), 279-304, NATO Sci. Ser. II Math. Phys. Chem., 21, Kluwer Acad. Publ., Dordrecht, 2001.
- Melle-Hernández, A.; Wall, C. T. C. Pencils of curves on smooth surfaces. Proc. London Math. Soc. (3) 83 (2001), no. 2, 257-278.
- Rodríguez-Palánquex, M. C.; García-Villalba, L. J.; Luengo-Velasco, I. Computing the genus of a class of curves. Applied algebra, algebraic algorithms and error-correcting codes (Melbourne, 2001), 182-191, Lecture Notes in Comput. Sci., 2227, Springer, Berlin, 2001.
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2000
- Artal Bartolo, Enrique; Carmona Ruber, Jorge; Cogolludo Agustín, José Ignacio; Luengo Velasco, Ignacio; Melle Hernández, Alejandro Fundamental group of plane curves and related invariants. Mathematical contributions: volume in honor of Professor Joaquín Arregui Fernández (Spanish), 77-104, Homen. Univ. Complut., Editorial Complutense, Madrid, 2000.
- Artal Bartolo, E.; Cassou-Noguès, P. Polynme d’Alexander l’infini d’un polynme deux variables. (French) [Alexander polynomial at infinity of a polynomial in two variables] Rev. Mat. Complut. 13 (2000), no. 2, 267-285.
- Artal Bartolo, E.; Luengo, I.; Melle-Hernández, A. On a conjecture of W. Veys. Math. Ann. 317 (2000), no. 2, 325-327,
- Artal Bartolo, E.; Luengo, I.; Melle-Hernández, A. Milnor number at infinity, topology and Newton boundary of a polynomial function. Math. Z. 233 (2000), no. 4, 679-696. (Reviewer: A. R. Shastri)
- Artal, E.; Luengo, I.; Melle, A. On the topology of a generic fibre of a polynomial function. Comm. Algebra 28 (2000), no. 4, 1767-1787.
- Cogolludo-Agustín, José Ignacio, Invariants of the complement to rational arrangements. C. R. Acad. Sci. Paris Sér. I Math. 330 (2000), no. 8, 697-701.
- González Pérez, P. D. Singularités quasi-ordinaires toriques et polyèdre de Newton du discriminant. (French) [Toric quasiordinary singularities and Newton polyhedron of the discriminant] Canad. J. Math. 52 (2000), no. 2, 348-368.
- Gusein-Zade, Sabir M.; Luengo, Ignacio; Melle-Hernández, Alejandro On the zeta-function of a polynomial at infinity. Bull. Sci. Math. 124 (2000), no. 3, 213-224. (Reviewer: Ricardo García López)
- Gusein-Zade, S. M.; Luengo, I.; Melle-Hernández, A. On the topology of germs of meromorphic functions and its applications. (Russian) Algebra i Analiz 11 (1999), no. 5, 92–99; translation in St. Petersburg Math. J. 11 (2000), no. 5, 775-780
- López, Bartolomé; Luengo, Ignacio Codes on Drinfeld modular curves. Coding theory, cryptography and related areas (Guanajuato, 1998), 175-183, Springer, Berlin, 2000.
- Luengo, I.; Olivares, J. Germs of holomorphic vector fields in Cm without a separatrix. Trans. Amer. Math. Soc. 352 (2000), no. 12, 5511-5524.
- Melle-Hernández, Alejandro On polar invariants of hypersurface singularities. Ann. Fac. Sci. Toulouse Math. (6) 9 (2000), no. 4, 671-688.
- Melle-Hernández, A. Milnor numbers for surface singularities. Israel J. Math. 115 (2000), 29-50. (Reviewer: Enrique Artal Bartolo)
1999
- Cassou-Noguès, Pierrette; Dimca, Alexandru Topology of complex polynomials via polar curves. Kodai Math. J. 22 (1999), no. 1, 131-139.
- Cassou-Noguès, Pierrette; Couveignes, Jean-Marc Factorisations explicites de g(y) – h(z). Acta Arith. 87 (1999), no. 4, 291-317.
- Castellanos, Julio Complete ideals and singularities of curves. (Spanish) Rev. Semin. Iberoam. Mat. Singul. Tordesillas 2 (1999), no. 6, 3-11.
- Cogolludo, José Ignacio Fundamental group for some cuspidal curves. Bull. London Math. Soc. 31 (1999), no. 2, 136-142.
- Gusein-Zade, S. M.; Luengo, I.; Melle-Hernández, A. On atypical values and local monodromies of meromorphic functions. (Russian) Tr. Mat. Inst. Steklova 225 (1999), Solitony Geom. Topol. na Perekrest., 168–176; translation in Proc. Steklov Inst. Math. 1999, no. 2 (225), 156-164
- Melle-Hernández, A. Euler characteristic of the Milnor fibre of plane singularities. Proc. Amer. Math. Soc. 127 (1999), no. 9, 2653-2655.
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1998
- Artal Bartolo, Enrique; Carmona Ruber, Jorge Zariski pairs, fundamental groups and Alexander polynomials. J. Math. Soc. Japan 50 (1998), no. 3, 521-543.
- Gusein-Zade, S. M.; Luengo, I.; Melle-Hernádez, A. Zeta functions of germs of meromorphic functions, and the Newton diagram. (Russian) Funktsional. Anal. i Prilozhen. 32 (1998), no. 2, 26–35, 95; translation in Funct. Anal. Appl. 32 (1998), no. 2, 93-99
- Artal Bartolo, Enrique Erratum to: «A curve of degree five with non-abelian fundamental group». Topology Appl. 83 (1998), no. 2, 159.
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1997
- Artal Bartolo, Enrique A curve of degree five with non-abelian fundamental group. Topology Appl. 79 (1997), no. 1, 13-29,
- Artal Bartolo, E. Fundamental group of a class of rational cuspidal curves. Manuscripta Math. 93 (1997), no. 3, 273-281.
- Gusein-Zade, S. M.; Luengo, I.; Melle-Hernández, A. Partial resolutions and the zeta-function of a singularity. Comment. Math. Helv. 72 (1997), no. 2, 244-256.
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1996
- Cassou-Noguès, Pierrette; Há Huy Vui Théorème de Kuiper-Kuo-Bochnak-Lojasiewicz à l’infini. Ann. Fac. Sci. Toulouse Math. (6) 5 (1996), no. 3, 387-40.
- Cassou-Noguès, Pierrette; Ploski, Arkadiusz Un théorème des zéros effectif. Bull. Polish Acad. Sci. Math. 44 (1996), no. 1, 61-70.
- Cassou-Noguès, Pierrette Sur la généralisation d’un théorème de Kouchnirenko. Compositio Math. 103 (1996), no. 1, 95-121.
- Fernández de Bobadilla de Olazabal, Javier A monotone C1 function and a Riemann integrable function whose composition is not Riemann integrable. Real Anal. Exchange 22 (1996/97), no. 1, 404-405.
- Artal Bartolo, E.; Cassou-Noguès, P. One remark on polynomials in two variables. Pacific J. Math. 176 (1996), no. 2, 297-309.
- Castellanos, Julio Resolution of space curves complexity. J. Pure Appl. Algebra 106 (1996), no. 3, 223-231.
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1995
- Luengo, Ignacio; Melle, Alejandro A formula for the Milnor number. C. R. Acad. Sci. Paris Sér. I Math. 321 (1995), no. 11, 1473-1478.
- Artal-Bartolo, E. Une démonstration géométrique du théorème d’Abhyankar-Moh. J. Reine Angew. Math. 464 (1995), 97-108.
- Cassou-Noguès, Pierrette; Há Huy Vui Sur le nombre de Lojasiewicz á l’infini d’un polynôme. Ann. Polon. Math. 62 (1995), no. 1, 23-44.
- Castellanos, Julio On the singularities of space curves. Singularity theory (Trieste, 1991), 173-191, World Sci. Publ., River Edge, NJ, 1995.
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1994
- Artal-Bartolo, E.; Cassou-Noguès, P.; Luengo Velasco, I. On polynomials whose fibers are irreducible with no critical points. Math. Ann. 299 (1994), no. 3, 477-490.
- Artal-Bartolo, Enrique Sur les couples de Zariski. J. Algebraic Geom. 3 (1994), no. 2, 223-247.
- Artal-Bartolo, Enrique Forme de Jordan de la monodromie des singularités superisolées de surfaces. Mem. Amer. Math. Soc. 109 (1994), no. 525, x+84 pp.
- Artal-Bartolo, Enrique Combinatorics and topology of line arrangements in the complex projective plane. Proc. Amer. Math. Soc. 121 (1994), no. 2, 385-390.
- Campillo, Antonio; Castellanos, Julio Arf closure relative to a divisorial valuation and transversal curves. Amer. J. Math. 116 (1994), no. 2, 377-395.
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1993
- Artal-Bartolo, Enrique; Combinatoire et type topologique des applications polynomiales de C^2 dans C. Enseign. Math. (2) 39 (1993), no. 3-4, 211-224.
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1992
- Gómez-Mont, Xavier; Luengo, Ignacio Germs of holomorphic vector fields in C3 without a separatrix. Invent. Math. 109 (1992), no. 2, 211-219.
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1991
- Artal-Bartolo, Enrique Forme de Seifert des singularités de surface. C. R. Acad. Sci. Paris Sér. I Math. 313 (1991), no. 10, 689-692.
- Artal-Bartolo, Enrique Sur la monodromie des singularités superisolées. C. R. Acad. Sci. Paris Sér. I Math. 312 (1991), no. 8, 601-604.
- Cassou-Noguès, P. Courbes de semi-groupe donné. Rev. Mat. Univ. Complut. Madrid 4 (1991), no. 1, 13-44.
- Castellanos, Julio; The dual graph for space curves. Singularity theory and its applications, Part I (Coventry, 1988/1989), 73-80, Lecture Notes in Math., 1462, Springer, Berlin, 1991.
- Castellanos, Julio; Nuñez, Ana On the geometry of the sequence of infinitely near points. Manuscripta Math. 72 (1991), no. 1, 49-66.
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1990
- Cassou-Noguès, Pierrette Entrelacs toriques itérés et intégrales associées á une courbe plane. Sém. Théor. Nombres Bordeaux (2) 2 (1990), no. 2, 273-331.
- Cassou-Noguès, Pi. Dirichlet series associated with a polynomial. Number theory and physics (Les Houches, 1989), 244-252, Springer Proc. Phys., 47, Springer, Berlin, 1990.
- Castellanos, Julio Hamburger-Noether matrices over rings. J. Pure Appl. Algebra 64 (1990), no. 1, 7-19.
- Luengo, Ignacio; Pfister, Gerhard Normal forms and moduli spaces of curve singularities with semigroup . Algebraic geometry (Berlin, 1988). Compositio Math. 76 (1990), no. 1-2, 247-264
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1980s
- Alonso, M. E.; Luengo, I.; Raimondo, M. An algorithm on quasi-ordinary polynomials. Applied algebra, algebraic algorithms and error-correcting codes (Rome, 1988), 59-73, Lecture Notes in Comput. Sci., 357, Springer, Berlin, 1989.
- Cassou-Noguès, P. Polynôme de Bernstein générique. Abh. Math. Sem. Univ. Hamburg 58 (1988), 103-123.
- Cassou-Noguès, Pierrette Étude du comportement du polynôme de Bernstein lors d’une déformation à µ-constant de X^a+Y^b avec (a,b)=1. Compositio Math. 63 (1987), no. 3, 291-313.
- Cassou-Noguès, Pierrette Valeurs aux entiers négatifs des séries de Dirichlet associées à un polynôme. III. Amer. J. Math. 109 (1987), no. 1, 71Ð89.
- Luengo, Ignacio The µ-constant stratum is not smooth. Invent. Math. 90 (1987), no. 1, 139-152.
- Luengo, Ignacio On the existence of complete families of projective plane curves, which are obstructed. J. London Math. Soc. (2) 36 (1987), no. 1, 33-43.
- Cassou-Noguès, Pierrette Racines de polyômes de Bernstein. Ann. Inst. Fourier (Grenoble) 36 (1986), no. 4, 1-30.
- Cassou-Noguès, Pierrette Séries de Dirichlet et intégrales associées à un polynôme à deux indéterminées. J. Number Theory 23 (1986), no. 1, 1-54.
- Castellanos, Julio A relation between the sequence of multiplicities and the semigroup of values of an algebroid curve. J. Pure Appl. Algebra 43 (1986), no. 2, 119-127.
- Luengo, Ignacio; An example concerning a question of Zariski. Bull. Soc. Math. France 113 (1985), no. 4, 379-386.
- Cassou-Noguès, Pierrette; Théorie des nombres et singularités. Seminar on number theory, 1983-1984 (Talence, 1983/1984), Exp. No. 34, 17 pp., Univ. Bordeaux I, Talence, 1984.
- Luengo, Ignacio A counterexample to a conjecture of Zariski. Math. Ann. 267 (1984), no. 4, 487-494.
- Luengo, Ignacio On the structure of embedded algebroid surfaces. Singularities, Part 2 (Arcata, Calif., 1981), 185-192, Proc. Sympos. Pure Math., 40, Amer. Math. Soc., Providence, R.I., 1983.
- Luengo, Ignacio A new proof of the Jung-Abhyankar theorem. J. Algebra 85 (1983), no. 2, 399-409.
- Campillo, A.; Castellanos, J. On projections of space algebroid curves. Algebraic geometry (La Rábida, 1981), 22-31, Lecture Notes in Math., 961, Springer, Berlin, 1982.
- Luengo Velasco, Ignacio Classification of double points of embedded algebroid surfaces. (Spanish) Publ. Sec. Mat. Univ. Autonoma Barcelona No. 23 (1981)