A reconstruction theorem for abelian categories of twisted sheaves

Benjamin Antieau

doi:10.1515/crelle-2013-0119

A reconstruction theorem for abelian categories of twisted sheaves

Benjamin Antieau^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

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 αεBr(X). By applying the work of Toën on derived Azumaya algebras, we give a proof of Cəldəraru's conjecture.

Original language	English (US)
Pages (from-to)	175-188
Number of pages	14
Journal	Journal fur die Reine und Angewandte Mathematik
Volume	2016
Issue number	712
DOIs	https://doi.org/10.1515/crelle-2013-0119
State	Published - Mar 1 2016

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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title = "A reconstruction theorem for abelian categories of twisted sheaves",

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 αεBr(X). By applying the work of To{\"e}n on derived Azumaya algebras, we give a proof of Cəldəraru's conjecture.",

author = "Benjamin Antieau",

note = "Publisher Copyright: {\textcopyright} 2016 by De Gruyter 2016 We thank the referee for their comments, which resulted in a more precise exposition.",

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AB - 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 αεBr(X). By applying the work of Toën on derived Azumaya algebras, we give a proof of Cəldəraru's conjecture.

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A reconstruction theorem for abelian categories of twisted sheaves

Abstract

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