The bigger Brauer group and twisted sheaves

Details The bigger Brauer group and twisted sheaves The bigger Brauer group and twisted sheaves

2008-03-25

arxiv.org/abs/0803.3563v1

Mathematics

Algebraic Geometry

12 pages

Scientific paper

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 de Jong and Lieblich.

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