The derived Brauer map via twisted sheaves

DOI10.1007/s40062-023-00329-yarXiv2205.07789OpenAlexW4386967319MaRDI QIDQ6074863

Guglielmo Nocera, Michele Pernice

Publication date: 19 October 2023

Published in: Journal of Homotopy and Related Structures (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.07789

zbMATH Keywords

Brauer groupgerbesderived Azumaya algebrastwisted sheaves

Mathematics Subject Classification ID

Brauer groups of schemes (14F22) Fundamental constructions in algebraic geometry involving higher and derived categories (homotopical algebraic geometry, derived algebraic geometry, etc.) (14A30) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)

Cites Work

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• Derived Azumaya algebras and generators for twisted derived categories
• Tame stacks in positive characteristic
• The period-index problem for the Brauer group of an algebraic surface
• Decompositions of derived categories of gerbes and of families of Brauer-Severi varieties
• Brauer groups and étale cohomology in derived algebraic geometry
• Sheaves of categories and the notion of 1-affineness
• Perfect complexes on algebraic stacks
• Twisted sheaves and the period-index problem