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Brauer Group of Moduli Spaces of PGL(r)-Bundles over a curve
Preprint
29 April 2009
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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 the 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 \(X\).
