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

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

2009-04-29

arxiv.org/abs/0904.4640v2

Mathematics

Algebraic Geometry

minor corrections.

Scientific paper

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 $X$.

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