Brauer groups and quotient stacks

Details Brauer groups and quotient stacks Brauer groups and quotient stacks

1999-05-09

arxiv.org/abs/math/9905049v3

Mathematics

Algebraic Geometry

American J. Math, to appear. (Latex2e, 17pp)

Scientific paper

A natural question is to determine which algebraic stacks are qoutient
stacks. In this paper we give some partial answers and relate it to the old
question of whether, for a scheme X, the natural map from the Brauer goup
(equivalence classes of Azumaya algebras) to the cohomological Brauer group
(the torsion subgroup of $H^2(X,{\mathbb G}_m)$ is surjective.

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