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 H-2(X (G(m))) is surjective.
Brauer groups and quotient stacks
VISTOLI, ANGELO
2001
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 H-2(X (G(m))) is surjective.File in questo prodotto:
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