A characterization of Jacobians by the existence of Picard bundles

  • 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
Published
2008-08-06
Section
Articoli