Categorical smooth compactifications and neighborhoods of infinity

DOI10.4171/MAG-34zbMath1479.14022MaRDI QIDQ2076015

Alexander I. Efimov

Publication date: 17 February 2022

Published in: European Mathematical Society Magazine (Search for Journal in Brave)

Mathematics Subject Classification ID

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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• Smooth and proper noncommutative schemes and gluing of dg categories
• Generalized non-commutative degeneration conjecture
• Categorical resolution of singularities
• Categorical smooth compactifications and generalized Hodge-to-de Rham degeneration
• Homotopy finiteness of some DG categories from algebraic geometry
• Notes on A∞-Algebras, A∞-Categories and Non-Commutative Geometry
• Spectral Sequences for Cyclic Homology
• Categorical Resolutions of Irrational Singularities
• Moduli of objects in dg-categories
• Residues of differentials on curves

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