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

Biswas, Indranil ; Hogadi, Amit (2010) Brauer group of moduli spaces of PGL(r)-bundles over a curve Advances in Mathematics . ISSN 0001-8708

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S00018...

Related URL: http://dx.doi.org/10.1016/j.aim.2010.04.020

Abstract

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.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
Keywords:Brauer Group; Moduli Stack; Gerbe; Stable Bundle
ID Code:3563
Deposited On:12 Oct 2010 04:16
Last Modified:12 Oct 2010 11:15

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