Stability of tautological bundles on symmetric products of curves

被引：0
|
作者：
Krug, Andreas [1 ]
机构：
[1] Philipps Univ Marburg, Fachbereich Math & Informat 12, D-35032 Marburg, Germany
来源：
MATHEMATICAL RESEARCH LETTERS | 2020年 / 27卷 / 06期
关键词：
SECANT BUNDLES; POWER;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that, if C is a smooth projective curve over the complex numbers, and E is a stable vector bundle on C whose slope does not lie in the interval [-1, n - 1], then the associated tautological bundle E-[n] on the symmetric product C-(n) is again stable. Also, if E is semi-stable and its slope does not lie in (-1, n - 1), then E-[n] is semi-stable.
引用
收藏
页码：1785 / 1800
页数：16
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