Ranks of maps of vector bundles

被引:0
|
作者
Teixidor i Bigas, Montserrat [1 ]
机构
[1] Tufts Univ, Dept Math, 177 Coll Ave, Medford, MA 02155 USA
来源
REVISTA MATEMATICA COMPLUTENSE | 2024年 / 37卷 / 03期
基金
美国国家科学基金会;
关键词
Algebraic curve; Vector bundle; Petri map; Poincare bundle; LIMIT LINEAR SERIES; MODULI SPACES; COHERENT SYSTEMS;
D O I
10.1007/s13163-023-00477-y
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We generalize to vector bundles the techniques introduced for line bundles in Liu (TAMS 374:367-405, 2021). We then use this method to prove the injectivity of the Petri map for vector bundles and the surjectivity of a map related to deformation theory of Poincare sheaves.
引用
收藏
页码:861 / 876
页数:16
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