The bigger Brauer group and twisted sheaves
Algebraic Geometry
2008-03-26 v1
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 de Jong and Lieblich.
Cite
@article{arxiv.0803.3563,
title = {The bigger Brauer group and twisted sheaves},
author = {Jochen Heinloth and Stefan Schroeer},
journal= {arXiv preprint arXiv:0803.3563},
year = {2008}
}
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12 pages