Abstract

Let X be an irreducible smooth complex projective curve of genus g, with g ≥ 2. Let N be a connected component of the moduli space of semistable principal PGLr (ℂ)-bundles over X; it is a normal unirational complex projective variety. We prove that the Brauer group of a desingularization of N is trivial.

Details

Title
Unramified Brauer group of the moduli spaces of PGLr(ℂ)-bundles over curves
Author
Biswas, Indranil 1 ; Hogadi, Amit 1 ; Holla, Yogish 1 

 School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay, 400005, India 
Pages
1157-1163
Publication year
2014
Publication date
2014
Publisher
De Gruyter Poland
ISSN
18951074
e-ISSN
16443616
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
2545269313
Copyright
© 2014. This work is published under http://creativecommons.org/licenses/by-nc-nd/3.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.