论文标题
对K3表面上无扭转的无扭转绳层的不可还原组成部分进行分类，并应用于Brill-Noether理论
Classifying the irreducible components of moduli stacks of torsion free sheaves on K3 surfaces and an application to Brill-Noether theory
论文作者
论文摘要
在本文中，我们对PICARD数字1的K3表面上的无扭转的无扭转束系的模量堆栈的不可约组件进行了分类。对于排除的表面，C.Walter对统治的表面进行了摩ul堆堆组的组件。此外，根据我们的结果，我们对K3表面上Hilbert Shemes的Brill-Noether基因座的不可约组成部分进行了分类。
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 C.Walter. Moreover, by virtue of our result, we classify the irreducible components of Brill-Noether loci of Hilbert schemes of points on K3 surfaces.
