A reconstruction theorem for abelian categories of twisted sheaves

2013/05/11 by Antieau, Benjamin
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1305.2541

Abstract

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

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• Derived Categories of Twisted Sheaves on Elliptic Threefolds
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• A characterization of categories of coherent sheaves of certain algebraic stacks