Brauer group of moduli spaces of PGL(r)-bundles over a curve

被引：7
|
作者：
Biswas, Indranil [1 ]
Hogadi, Amit [1 ]
机构：
[1] Tata Inst Fundamental Res, Sch Math, Bombay 400005, Maharashtra, India
来源：
ADVANCES IN MATHEMATICS | 2010年 / 225卷 / 05期
关键词：
Brauer group; Moduli stack; Gerbe; Stable bundle; PICARD GROUP; BUNDLES;
D O I：
10.1016/j.aim.2010.04.020
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We compute the Brauer group of the moduli stack of stable PGL(r)-bundles on a curve X over an algebraically closed field of characteristic zero. We also show that this Brauer group of such a moduli stack coincides with the Brauer group of the smooth locus of the corresponding coarse moduli space of stable PGL(r)-bundles on X. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码：2317 / 2331
页数：15
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