Classifying the irreducible components of moduli stacks of torsion free sheaves on K3 surfaces and an application to Brill-Noether theory

被引：0
|
作者：
Mizuno, Yuki [1 ]
机构：
[1] Waseda Univ, Sch Sci & Engn, Dept Math, Ohkubo 3-4-1, Tokyo, Tokyo 1698555, Japan
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2022年 / 179卷
基金：
日本学术振兴会;
关键词：
Moduli spaces of sheaves; Algebraic stacks; K3; surfaces; Brill-Noether theory; VECTOR-BUNDLES;
D O I：
10.1016/j.geomphys.2022.104607
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we classify the irreducible components of moduli stacks of torsion free sheaves of rank 2 on K3 surfaces of Picard number 1. For ruled surfaces, the components of moduli stacks of torsion free sheaves were classified by Walter ([18]). Moreover, by virtue of our result, we classify the irreducible components of Brill-Noether loci of Hilbert schemes of points on K3 surfaces. (C) 2022 Elsevier B.V. All rights reserved.
引用
收藏
页数：11
相关论文
共 20 条
12