The bigger Brauer group and twisted sheaves

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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.
12 pages

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Algebraic Geometry, 14A20, 14F22

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http://salesiana.dossiersoluciones.com/handle/123456789/157407

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0803.3563
 http://arxiv.org/abs/0803.3563

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arXiv