Unramified Brauer group of the moduli spaces of \(PGL_r({\mathbb C})\)-bundles over curves

Let \(X\) be an irreducible smooth complex projective curve of genus at least two. Let \(N\) be a connected component of the moduli space of semistable principal \({\rm PGL}_r({\mathbb C})\)- bundles over \(X\); it is a normal unirational complex projective variety. We prove that the Brauer group of...

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Bibliographic Details
Published in:arXiv.org 2012-06
Main Authors: Biswas, Indranil, Hogadi, Amit, Yogish I Holla
Format: Article
Language:English
Subjects:
Bundles
Online Access:Get full text
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Summary:Let \(X\) be an irreducible smooth complex projective curve of genus at least two. Let \(N\) be a connected component of the moduli space of semistable principal \({\rm PGL}_r({\mathbb C})\)- bundles over \(X\); it is a normal unirational complex projective variety. We prove that the Brauer group of a desingularization of \(N\) is trivial.
ISSN:2331-8422