Gluing approximable triangulated categories

DOI10.1017/fms.2023.97arXiv1806.05342OpenAlexW2807842056MaRDI QIDQ6182797

Jesse Burke, Amnon Neeman, Bregje Pauwels

Publication date: 21 December 2023

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.05342

Mathematics Subject Classification ID

Chain complexes (category-theoretic aspects), dg categories (18G35) Derived categories, triangulated categories (18G80) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)

Cites Work

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• Smooth and proper noncommutative schemes and gluing of dg categories
• Higher \(K\)-theory via universal invariants
• Categorical resolution of singularities
• Strong generators in \(\mathbf{D}^{\mathrm{perf}}(X)\) and \(\mathbf{D}^b_{\mathrm{coh}}(X)\)
• Categorical smooth compactifications and generalized Hodge-to-de Rham degeneration
• Homotopy finiteness of some DG categories from algebraic geometry
• Recollement for differential graded algebras
• Triangulated Categories
• Gluing of categories and Krull-Schmidt partners
• Derived Equivalences of Upper Triangular Differential Graded Algebras
• Categorical Resolutions, Poset Schemes, and Du Bois Singularities
• Deriving DG categories
• Construction of 𝑡-structures and equivalences of derived categories
• The Grothendieck duality theorem via Bousfield’s techniques and Brown representability
• Approximable triangulated categories
• Categorical Resolutions of Irrational Singularities
• Semiorthogonal decompositions in algebraic geometry

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