Brauer spaces of spectral algebraic stacks

DOI10.1112/jlms.12738arXiv2002.07946MaRDI QIDQ6176461

Chang-Yeon Chough

Publication date: 23 August 2023

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.07946

Mathematics Subject Classification ID

Nonabelian homological algebra (category-theoretic aspects) (18G50) 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) ((infty,1))-categories (quasi-categories, Segal spaces, etc.); (infty)-topoi, stable (infty)-categories (18N60)

Cites Work

• Derived Azumaya algebras and generators for twisted derived categories
• Addendum to: ``Étale dévissage, descent and pushouts of stacks
• Brauer groups and étale cohomology in derived algebraic geometry
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Troisième partie). Rédigé avec la colloboration de J. Dieudonné
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas (Quatrième partie). Rédigé avec la colloboration de J. Dieudonné
• Perfect complexes on algebraic stacks
• Homotopical algebraic geometry. II. Geometric stacks and applications
• Higher Topos Theory (AM-170)
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