A characterization of Jacobians by the existence of Picard bundles

Authors

  • Ana C. López Martín Universidad de Salamanca
  • Ernesto C. Mistretta Universitat Bayreuth
  • Darío Sánchez Gómez Universidad de Salamanca

Keywords:

Abelian varieties, Jacobians, Fourier-Mukai transform

Abstract

Based on the Matsusaka-Ran criterion we give a criterion to characterize when a principal polarized abelian variety is a Jacobian by the existence of Picard bundles.

Author Biographies

  • Ana C. López Martín, Universidad de Salamanca
    Departamento de Matematicas and
    Inst. Univ. de Fisica Fundamental y Matematicas(IUFFYM)
    Plaza de la Merced 1-4
    37008 Salamanca, Spain
  • Ernesto C. Mistretta, Universitat Bayreuth
    Mathematisches Institut
    Lehrstuhl Mathematik VIII
    Universitatstraße 30
    D-95447 Bayreuth - Germany
  • Darío Sánchez Gómez, Universidad de Salamanca
    Departamento de Matematicas and
    Inst. Univ. de Fisica Fundamental y Matematicas(IUFFYM)
    Plaza de la Merced 1-4
    37008 Salamanca, Spain

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Published

2008-08-06

Issue

Vol. 63 No. 1 (2008)

Section

Articoli

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