2014/01/07 by Benjamin Antieau · 1 citation
Mathematics · #Algebraic structures and combinatorial models #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry #Abelian group #Mathematics #Conjecture #Pure mathematics #Brauer group #Coherent sheaf #Algebra over a field #Discrete mathematics
paper · pdf · doi:10.1515/crelle-2013-0119
published in Journal für die reine und angewandte Mathematik (Crelles Journal) 2016(712), 175-188 (De Gruyter)
openalex publication_date 2014/01/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mi>α</m:mi> <m:mo>∈</m:mo> <m:mo form="prefix">Br</m:mo> <m:mo>(</m:mo> <m:mi>X</m:mi> <m:mo>)</m:mo> </m:mrow> </m:math> α ∈ Br(X) . By applying the work of Toën on derived Azumaya algebras, we give a proof of Căldăraru's conjecture.