A note on theta divisors of stable bundles

被引：8

作者：

Brivio, Sonia ^{[1
]}

机构：

[1] Univ Pavia, Dipartimento Matemat F Casorati, I-27100 Pavia, Italy

来源：

REVISTA MATEMATICA IBEROAMERICANA | 2015年 / 31卷 / 02期

关键词：

Vector bundles; BRILL-NOETHER THEORY; VECTOR-BUNDLES; THEOREM; CURVES; MODULI;

D O I：

10.4171/RMI/846

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let C be a smooth complex irreducible projective curve of genus g >= 3. We show that if C is a Petri curve with g >= 4, a general stable vector bundle E on C, with integer slope, admits an irreducible and reduced theta divisor Theta(E), whose singular locus has dimension g - 4. If C is non-hyperelliptic of genus 3, then actually Theta(E) is smooth and irreducible for a general stable vector bundle E with integer slope on C.

引用

页码：601 / 608

页数：8

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