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arXiv · 1305.2541

A reconstruction theorem for abelian categories of twisted sheaves

Benjamin Antieau
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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 To\"en on derived Azumaya algebras, we give a proof of C\u{a}ld\u{a}raru's conjecture.

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Benjamin Antieau. 2013-05-11. A reconstruction theorem for abelian categories of twisted sheaves. https://arxiv.org/abs/1305.2541

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