Reachable sheaves on ribbons and deformations of moduli spaces of sheaves

• Autores: Jean-Marc Drézet
• Localización: International Journal of Mathematics, ISSN-e 0129-167X, Vol. 28, Nº. 12, 2017, págs. 28-92
• Idioma: inglés
• DOI: 10.1142/s0129167x17500860
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• Referencias bibliográficas
  • C. Bănică and O. Forster, Multiple structures on space curves, in Proc. Lefschetz Centennial Conf., Mexico, December 10–14, ed. D. Sundararaman,...
  • D. Bayer and D. Eisenbud, Ribbons and their canonical embeddings, Trans. Amer. Math. Soc. 347(3) (1995) 719–756.
  • D. Chen and J. L. Kass, Moduli of generalized line bundles on a ribbon, J. Pure Appl. Algebra 220(2) (2016) 822–844.
  • J.-M. Drézet, Déformations des extensions larges de faisceaux, Pacific J. Math. 220(2) (2005) 201–297.
  • J.-M. Drézet, Faisceaux cohérents sur les courbes multiples, Collect. Math. 57(2) (2006) 121–171.
  • J.-M. Drézet, Paramétrisation des courbes multiples primitives, Adv. Geom. 7 (2007) 559–612.
  • J.-M. Drézet, Faisceaux sans torsion et faisceaux quasi localement libres sur les courbes multiples primitives, Math. Nachr. 282(7) (2009)...
  • J.-M. Drézet, Sur les conditions d’existence des faisceaux semi-stables sur les courbes multiples primitives, Pacific J. Math. 249(2) (2011)...
  • J.-M. Drézet, Courbes multiples primitives et déformations de courbes lisses, Ann. Fac. Sci. Toulouse Math. 22(1) (2013) 133–154.
  • J.-M. Drézet, Fragmented deformations of primitive multiple curves, Cent. Eur. J. Math. 11(12) (2013) 2106–2137.
  • J.-M. Drézet, Reducible deformations and smoothing of primitive multiple curves, Manuscripta Math. 148 (2015) 447–469.
  • J.-M. Drézet, Non-reduced moduli spaces of sheaves on multiple curves, preprint (2017), arXiv:1705.10634.
  • D. Eisenbud and M. Green, Clifford indices of ribbons, Trans. Amer. Math. Soc. 347(3) (1995) 757–765.
  • D. Ferrand, Conducteur, descente et pincement, Bull. Soc. Math. France 131(4) (2003) 553–585.
  • R. Godement, Topologie Algébrique et Théorie des Faisceaux, Actualités Scientifiques et Industrielles, Vol. 1252 (Hermann, Paris, 1964).
  • M. González, Smoothing of ribbons over curves, J. Reine Angew. Math. 591 (2006) 201–235.
  • R. Hartshorne, Algebraic Geometry, Graduate Texts in Mathematics, Vol. 52 (Springer, 1977).
  • D. Huybrechts and M. Lehn, The Geometry of Moduli Spaces of Sheaves, Aspects of Mathematics, Vol. E31 (Vieweg, 1997).
  • M.-A. Inaba, On the moduli of stable sheaves on a reducible projective scheme and examples on a reducible quadric surface, Nagoya Math. J....
  • M. Maruyama, Openness of a family of torsion free sheaves, J. Math. Kyoto Univ. 16(3) (1976) 627–637.
  • M. Maruyama, Moduli of stable sheaves II, J. Math. Kyoto Univ. 18 (1978) 577–614.
  • M. Maruyama, On a generalization of elementary transformations of algebraic vector bundles, Rend. Sem. Mat. Univ. Politec. Torino 44 (Special...
  • C. S. Seshadri, Fibrés vectoriels sur les courbes algébriques, Astérisque 96 (1982).
  • C. T. Simpson, Moduli of representations of the fundamental group of a smooth projective variety I, Publ. Math. Inst. Hautes Études Sci. 79...
  • Y. Siu and G. Trautmann, Deformations of coherent analytic sheaves with compact supports, Mem. Amer. Math. Soc. 29(238) (1981).
  • M. Teixidor i Bigas, Moduli spaces of (semi-)stable vector bundles on tree-like curves, Math. Ann. 290 (1991) 341–348.
  • M. Teixidor i Bigas, Moduli spaces of vector bundles on reducible curves, Amer. J. Math. 117 (1995) 125–139.
  • M. Teixidor i Bigas, Compactifications of moduli spaces of (semi)stable bundles on singular curves: Two points of view, Collect. Math. 49...
  • M. Teixidor i Bigas, Vector bundles on reducible curves and applications, in Grassmannians, Moduli Spaces and Vector Bundles, Clay Mathematics...