arXiv:0904.4640 Abstract | arXiv Analytics

arXiv:0904.4640 [math.AG]Abstract References Reviews Resources

Brauer Group of Moduli Spaces of PGL(r)-Bundles over a curve

Published 2009-04-29, updated 2010-04-27Version 2

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 $X$.

Comments: minor corrections.

Categories: math.AG

Subjects: 14F05, 14D20

Keywords: brauer group, stable pgl, moduli stack coincides, corresponding coarse moduli space, characteristic zero

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