A reconstruction theorem for abelian categories of twisted sheaves

作者：Antieau Benjamin^*

来源：Journal fur die Reine und Angewandte Mathematik, 2016, 712(712): 175-188.

DOI：10.1515/crelle-2013-0119

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 an element of Br(X). By applying the work of Toen on derived Azumaya algebras, we give a proof of Caldararu's conjecture.

• 出版日期2016-3