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
收藏
页码：601 / 608
页数：8
相关论文
共 50 条
12345