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A reconstruction theorem for abelian categories of twisted sheaves

  • Benjamin Antieau EMAIL logo
Published/Copyright: January 9, 2014

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 αBr(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

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