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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11384/5457
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