The Brauer group of desingularization of moduli spaces of vector bundles over a curve

Let C be an irreducible smooth projective curve, of genus at least two, defined over an algebraically closed field of characteristic zero. For a fixed line bundle L on C , let M C ( r ; L ) be the coarse moduli space of semistable vector bundles E over C of rank r with ∧ r E = L . We show that the B...

Full description

Saved in:
Bibliographic Details
Published in:Central European journal of mathematics 2012-08, Vol.10 (4), p.1300-1305
Main Authors: Biswas, Indranil, Hogadi, Amit, Holla, Yogish I.
Format: Article
Language:English
Subjects:
14F22
14H60
Algebra
Brauer group
Geometry
Lie Groups
Mathematics
Mathematics and Statistics
Moduli space
Number Theory
Probability Theory and Stochastic Processes
Research Article
Semistable bundle
Topological Groups
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Let C be an irreducible smooth projective curve, of genus at least two, defined over an algebraically closed field of characteristic zero. For a fixed line bundle L on C , let M C ( r ; L ) be the coarse moduli space of semistable vector bundles E over C of rank r with ∧ r E = L . We show that the Brauer group of any desingularization of M C ( r; L ) is trivial.
ISSN:1895-1074
1644-3616
2391-5455
DOI:10.2478/s11533-012-0071-1