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Brauer groups and quotient stacks
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 123, Number 4, August 2001
- pp. 761-777
- 10.1353/ajm.2001.0024
- Article
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Abstract
A natural question is to determine which algebraic stacks are quotient stacks. In this paper we give some partial answers and relate it to the question of whether, for a scheme X, the natural map from the Brauer group (equivalence classes of Azumaya algebras) to the cohomological Brauer group (the torsion subgroup of H2(X, [inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="01i" /]m)) is surjective.
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