A reconstruction theorem for abelian categories of twisted sheaves

Benjamin Antieau

doi:10.1515/crelle-2013-0119

Published by De Gruyter January 9, 2014

A reconstruction theorem for abelian categories of twisted sheaves

Benjamin Antieau

From the journal Journal für die reine und angewandte Mathematik (Crelles Journal)

https://doi.org/10.1515/crelle-2013-0119

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Abstract

We use an idea of Rosenberg to prove a reconstruction theorem for abelian categories of α-twisted quasi-coherent sheaves on quasi-compact and quasi-separated schemes X when α∈Br(X). By applying the work of Toën on derived Azumaya algebras, we give a proof of Căldăraru's conjecture.

We thank the referee for their comments, which resulted in a more precise exposition.

Received: 2013-5-14

Revised: 2013-10-24

Published Online: 2014-1-9

Published in Print: 2016-3-1

A reconstruction theorem for abelian categories of twisted sheaves

Abstract

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