Singularities of the Prym theta divisor

被引：6

作者：

Casalaina-Martin, Sebastian ^{[1
]}

机构：

[1] Columbia Univ, Dept Math, New York, NY 10027 USA

来源：

ANNALS OF MATHEMATICS | 2009年 / 170卷 / 01期

关键词：

VARIETIES; THEOREM; GEOMETRY; RIEMANN; CURVE; MAP;

D O I：

10.4007/annals.2009.170.163

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For the Jacobian of a curve, the Riemann singularity theorem gives a geometric interpretation of the singularities of the theta divisor in terms of special linear series on the curve. This paper proves an analogous theorem for Prym varieties. Applications of this theorem to cubic threefolds and Prym varieties of dimension five are also considered.

引用

页码：163 / 204

页数：42

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