A Riemann singularity theorem for generalised Brill-Noether loci

被引：2
|
作者：
Teixidor, M [1 ]
机构：
[1] Tufts Univ, Dept Math, Medford, MA 02155 USA
来源：
MATHEMATISCHE NACHRICHTEN | 1998年 / 196卷
关键词：
algebraic curve; stable vector bundle; Brill-Noether theory;
D O I：
10.1002/mana.19981960111
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Consider a generic vector bundle E of given rank and degree. Consider the subscheme of the Jacobian of line bundles L such that E x L has a section. We show that the singular locus of this subscheme consists of all line bundles such that E x L has at least two sections.
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页码：251 / 257
页数：7
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