English

Brauer groups and quotient stacks

Algebraic Geometry 2016-09-07 v3

Abstract

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 H2(X,Gm)H^2(X,{\mathbb G}_m) is surjective.

Keywords

Cite

@article{arxiv.math/9905049,
  title  = {Brauer groups and quotient stacks},
  author = {D. Edidin and B. Hassett and A. Kresch and A. Vistoli},
  journal= {arXiv preprint arXiv:math/9905049},
  year   = {2016}
}

Comments

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