Serre functors of residual categories via hybrid models

DOI10.1112/blms.12878zbMath1527.14035arXiv2205.04793OpenAlexW4381851656MaRDI QIDQ6064919

Unnamed Author, Ed Segal

Publication date: 11 December 2023

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

Full work available at URL: https://arxiv.org/abs/2205.04793

zbMATH Keywords

derived categoriessemiorthogonal decompositionsSerre functors

Mathematics Subject Classification ID

Derived categories, triangulated categories (18G80) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)

Cites Work

• Matrix factorizations for nonaffine LG-models
• A category of kernels for equivariant factorizations and its implications for Hodge theory
• Equivalences between GIT quotients of Landau-Ginzburg B-models
• Compact generators in categories of matrix factorizations
• Three notions of dimension for triangulated categories
• Calabi-Yau and fractional Calabi-Yau categories
• Phases of \(N=2\) theories in two dimensions
• Global matrix factorizations
• Homological projective duality
• A geometric approach to Orlov’s theorem
• New derived symmetries of some hyperkähler varieties
• Triangulated categories of singularities and equivalences between Landau-Ginzburg models
• Derived Categories of Coherent Sheaves and Triangulated Categories of Singularities
• [https://portal.mardi4nfdi.de/wiki/Publication:4645082 Fractional Calabi�Yau categories from Landau�Ginzburg models]
• Stability conditions on Kuznetsov components
• Categorical Torelli theorems: results and open problems

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