Publications list

Papers:

  • Classification of smooth congruences of low degree, with Ignacio Sols, Journal für die reine und angewandte Mathematik, 393 (1989), 199-219.
  • On regular and stable ruled surfaces, with Manuel Pedreira and Ignacio Sols, in Proceedings of Algebraic Curves and Projective Geometry (Trento, March 21-25 1988), Springer Lecture Notes in Mathematics, 1389 (1989), 1-15.
  • Proof of Schubert conjectures on double contacts, with Raquel Mallavibarrena and Ignacio Sols, in Proceedings of the conference Enumerative Geometry(Sitges, June 1-7 1987), Springer Lecture Notes in Mathematics, 1436 (1990), 1-29.
  • On congruences of lines in the projective space, with Ignacio Sols, Mémoires de la Societé Mathématique de France, no. 50 (1992).
  • Bounding sections of bundles on curves, with Ignacio Sols, in Proceedings of the conference Projective varieties (Trieste, June 19-24 1989), London Mathematical Society Lecture Notes Series 159 (1992), 24-31.
  • On smooth surfaces in G(1,P3) with a fundamental curve, with Mark Gross, Manuscripta Mathematica, 79 (1993), 283-298.
  • Classification of smooth congruences with a fundamental curve, with Marina Bertolini and Cristina Turrini, in Projective Geometry with applications (ed. E. Ballico), Marcel Dekker (1994), 43-56.
  • Global moduli for contacts, with Ignacio Sols and Robert Speiser, Arkiv för Mathematik, 35 (1997), 1-57.
  • Parametric generalized offsets to hypersurfaces, with Juana Sendra and J. Rafael Sendra, Journal of Symbolic Computation, 23 (1997), 267-285.
  • The universal rank-(n-1) bundle on G(1,n) restricted to subvarieties, Collectanea Mathematica, (special issue dedicated to F. Serrano), 49 (1998), 173-183.
  • Congruences of small degree in G(1,4), with Marina Bertolini and Cristina Turrini, Communications in Algebra, 26 (10) (1998), 3249-3266. With an appendix Pfaffian linkage in codimension three and applications to congruences, pp. 3267-3274.
  • Projections of Grassmannians of lines and characterization of Veronese varieties, Journal of Algebraic Geometry, 8 (1999), 85-101.
  • Genus formula for generalized offset curves, with Juana Sendra and J. Rafael Sendra, Journal of Pure and Applied Algebra, 136 (1999), 199-209.
  • Vector bundles on G(1,4) without intermediate cohomology, with Beatriz Graña, Journal of Algebra, 214 (1999), 128-142.
  • Vector bundles on Fano 3-folds without intermediate cohomology, with Laura Costa, Communications in Algebra, 28 (8) (2000), 3899-3911.
  • Quadric bundle congruences in G(1,n), with Marina Bertolini and Cristina Turrini, Forum Mathematicum, 12 (2000), 649-666.
  • A focus on focal surfaces, with Marina Bertolini and Cristina Turrini, Asian Journal of Mathematics, 5, No.3 (2001), 535-560.
  • La correspondencia de Serre hecha a mano, en Homenaje al profesor Outerelo, Contribuciones Matemáticas,  UCM (2004), 61-72.
  • Subcanonicity of codimension two subvarieties, Revista Matemática Complutense, 18 (2005), 69–80.
  • Classification of n-dimensional subvarieties of  G(1,2n) that can be projected to G(1,n+1), with J.C. Sierra and L. Ugaglia, Bulletin of the London Mathematical Society, 37 (2005), 673-682.
  • Characterization of Veronese varieties via projections in Grassmannians, with Raffaella Paoletti, in Projective varieties with unexpected properties (eds. Ciliberto, Geramita, Miró-Roig, Ranestad), De Gruyter (2005), 1-12.
  • Focal loci in G(1,n), with Marina Bertolini and Cristina Turrini, Asian Journal of Mathematics, 9 (4) (2005), 449-472.
  • Another elementary proof of the Nullstellensatz, American Mathematical Monthly, 113 (2)  (2006), 169-171 (the same proof was found independently by Marco Manetti, and written in English and Italian).
  • Congruences on G(1,4) with split universal quotient bundle, with Beatriz Graña,  Journal of Geometry and Physics, 56 (6) (2006), 1057-1067.
  • Evidence to subcanonicity of codimension two submanifolds of G(1,4), with Maria Lucia Fania, International Journal of Mathematics, 17 (2006), 157-168.
  • Vector bundles with no intermediate cohomology on Fano threefolds of type V22, with Daniele Faenzi, Pacific Journal of Mathematics, 225(2) (2006), 201-220.
  • A hand-made Hartshorne-Serre correspondence, Revista Matemática Complutense, 20 (2007), 423-443.
  • Curves and bundles on the quartic threefold, with Carlo Madonna, Journal of the Korean Mathematical Society, 46 no.3 (2009), 589-607.
  • On the Picard group of low-codimension subvarieties, with Jorge Caravantes, Indiana University Mathematics Journal, 58(3) (2009), 1023-1050.
  • On the stability of the universal quotient bundle restricted to congruences of low degree of G(1,3), with Sofía Cobo, Annali della Scuola Normale Superiore di Pisa Cl. Sci. (5) Vol. IX (2010), 503-522.
  • Cohomological Characterization of Vector Bundles on Grassmannians of Lines, with Francesco Malaspina, Journal of Algebra, 323 (2010), 1098-1106.
  • Schwarzenberger bundles of arbitrary rank on the projective space, Journal of the London Mathematical Society, 82 (2010), 697-716.
  • On the ampleness of the normal bundle of line congruences, with Marina Bertolini and Cristina Turrini, Forum Mathematicum, 23 (2011), 223–244.
  • On the variety parametrizing completely decomposable polynomials, with Alessandra Bernardi, Journal of Pure and Applied Algebra, 215 (2011),201-220.
  • A notion of Delta-multigenus for certain rank two ample vector bundles, with Antonio Lanteri and Carla Novelli, Kodai Mathematical Journal, 36 (2013), 137–153.
  • Jumping pairs of Steiner bundles, with Simone Marchesi, Forum Mathematicum, 27 (2015), 3233-3267.
  • Schwarzenberger bundles on smooth projective varieties, with Simone Marchesi and Helena Soares, Journal of Pure and Applied Algebra, 220 (2016), no. 9, 3307-3326.
  • Cohomological characterization of universal bundles of G(1,n), with Alicia Tocino, Journal of Algebra, 540 (2019) 206-233.
  • Skew-symmetric tensor decomposition, with Alessandra Bernardi, Pedro Macias Marques and Bernard Murrain, accepted in Communications in Contemporary Mathematics (DOI: 10.1142/S0219199719500615.

Books edited:

Lecture Notes: