Kernels of categorical resolutions of nodal singularities

DOI10.1007/s12215-023-00895-3arXiv2209.12853OpenAlexW4376280040MaRDI QIDQ6170889

Jieao Song, Luigi Martinelli, Pablo Magni, Laura Pertusi, Franco Giovenzana, Shengxuan Liu, Warren Cattani

Publication date: 10 August 2023

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.12853

zbMATH Keywords

cubic fourfoldscategorical resolutionsnodal singularities

Mathematics Subject Classification ID

Singularities of surfaces or higher-dimensional varieties (14J17) Fano varieties (14J45)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Formal completions and idempotent completions of triangulated categories of singularities
• Algebraic geometry and analytic geometry
• Lefschetz decompositions and categorical resolutions of singularities
• On the derived categories of coherent sheaves on some homogeneous spaces
• Flops and derived categories.
• Braid group actions on derived categories of coherent sheaves.
• Homotopy finiteness of some DG categories from algebraic geometry
• Calabi-Yau and fractional Calabi-Yau categories
• Resolution of singularities of an algebraic variety over a field of characteristic zero. II
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• Reconstruction of a variety from the derived category and groups of autoequivalences
• Derived Categories of Cubic Fourfolds
• REPRESENTABLE FUNCTORS, SERRE FUNCTORS, AND MUTATIONS
• Triangulated categories of singularities and equivalences between Landau-Ginzburg models
• Spinor Bundles on Quadrics
• ASYMPTOTIC INVARIANTS OF SMOOTH MANIFOLDS
• Introduction to Singularities
• Introduction
• Homological projective duality for quadrics
• Derived Categories of Families of Sextic del Pezzo Surfaces
• Obstructions to semiorthogonal decompositions for singular threefolds I: K-theory
• Categorical Resolutions of Irrational Singularities
• Derived Categories View on Rationality Problems
• Hyperplane sections and derived categories
• Homological Bondal-Orlov localization conjecture for rational singularities