The Brauer Group of the Universal Moduli Space of Vector Bundles Over Smooth Curves

被引：3

作者：

Fringuelli, Roberto ^{[1
]}

Pirisi, Roberto ^{[2
]}

机构：

[1] Univ Helsinki, Dept Math & Stat, POB 68, FI-00014 Helsinki, Finland

[2] Kungliga Tekniska Hogskolan, Lindstedtsvagen 25, S-10044 Stockholm, Sweden

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2021年 / 2021卷 / 18期

基金：

英国工程与自然科学研究理事会;

关键词：

PICARD GROUP; VARIETIES; STACKS;

D O I：

10.1093/imrn/rnz300

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We compute the Brauer group of the universal moduli stack of vector bundles on (possibly marked) smooth curves of genus at least three over the complex numbers. As consequence, we obtain an explicit description of the Brauer group of the smooth locus of the associated moduli space of semistable vector bundles, when the genus is at least four.

引用

页码：13609 / 13644

页数：36