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

页码：2317 / 2331

页数：15

共 50 条

[41] Motives of moduli spaces of rank 3 vector bundles and Higgs bundles on a curve
Fu, Lie
Hoskins, Victoria
Lehalleur, Simon Pepin
ELECTRONIC RESEARCH ARCHIVE, 2022, 30 (01): : 66 - 89
[42] The Picard group of the moduli of G-bundles on a curve
Beauville, A
Laszlo, Y
Sorger, C
COMPOSITIO MATHEMATICA, 1998, 112 (02) : 183 - 216
[43] Moduli Spaces of Vector Bundles over a Real Curve: Z/2-Betti Numbers
Baird, Thomas
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2014, 66 (05): : 961 - 992
[44] The Hodge-Poincar, polynomial of the moduli spaces of stable vector bundles over an algebraic curve
Gonzalez-Martinez, Cristian
MANUSCRIPTA MATHEMATICA, 2012, 137 (1-2) : 19 - 55
[45] Picard group of the moduli spaces of G-bundles
Kumar, S
Narasimhan, MS
MATHEMATISCHE ANNALEN, 1997, 308 (01) : 155 - 173
[46] Group systems, groupoids, and moduli spaces of parabolic bundles
Guruprasad, K
Huebschmann, J
Jeffrey, L
Weinstein, A
DUKE MATHEMATICAL JOURNAL, 1997, 89 (02) : 377 - 412
[47] Picard group of the moduli spaces of G-bundles
Shrawan Kumar
M. S. Narasimhan
Mathematische Annalen, 1997, 308 : 155 - 173
[48] Moduli spaces of vector bundles over ruled surfaces
Aprodu, M
Brînzanescu, V
NAGOYA MATHEMATICAL JOURNAL, 1999, 154 : 111 - 122
[49] BUNDLES OVER MODULI SPACES AND THE QUANTIZATION OF BPS MONOPOLES
MANTON, NS
SCHROERS, BJ
ANNALS OF PHYSICS, 1993, 225 (02) : 290 - 338
[50] Moduli spaces of vector bundles over a Klein surface
Schaffhauser, Florent
GEOMETRIAE DEDICATA, 2011, 151 (01) : 187 - 206

← 1 2 3 4 5 →