Products of Jacobians as Prym-Tyurin varieties |
| |
| Authors: | Angel Carocca Herbert Lange Rubí E Rodríguez Anita M Rojas |
| |
| Institution: | 1.Facultad de Matemáticas,Pontificia Universidad Católica de Chile,Casilla,Chile;2.Mathematisches Institut,Universit?t Erlangen-Nürnberg,Erlangen,Germany;3.Departamento de Matemáticas, Facultad de Ciencias,Universidad de Chile,Santiago,Chile |
| |
| Abstract: | Let X
1, ..., X
m
denote smooth projective curves of genus g
i
≥ 2 over an algebraically closed field of characteristic 0 and let n denote any integer at least equal to  . We show that the product JX
1 × ... × JX
m
of the corresponding Jacobian varieties admits the structure of a Prym-Tyurin variety of exponent n
m-1. This exponent is considerably smaller than the exponent of the structure of a Prym-Tyurin variety known to exist for an
arbitrary principally polarized abelian variety. Moreover it is given by explicit correspondences.
|
| |
| Keywords: | Prym-Tyurin variety Jacobian Correspondence |
| 本文献已被 SpringerLink 等数据库收录！ |
|
