The bigger Brauer group and twisted sheaves

Authors
Publication date 2009
Journal Journal of Algebra
Volume | Issue number 322 | 4
Pages (from-to) 1187-1195
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
Abstract Given an algebraic stack with quasiaffine diagonal, we show that each G(m)-gerbe comes from a central separable algebra. In other words, Taylor's bigger Brauer group equals the etale cohomology in degree two with coefficients in G(m). This gives new results also for schemes. We use the method of twisted sheaves explored by Lieblich and de Jong.
Document type Article
Published at https://doi.org/10.1016/j.jalgebra.2009.04.043
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