Non-commutative deformations of simple objects in a category of perverse coherent sheaves

2018/06/13 by Yūjirō Kawamata, Kawamata, Yujiro
Mathematics · Physics and Astronomy · #13D09 #14B10 #14E30 #16E35 #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1806.04858

openalex publication_date 2018/06/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We determine versal non-commutative deformations of some simple collections in the categories of perverse coherent sheaves arising from tilting generators for projective morphisms.

Citations

• Birational geometry and derived categories

Related

• Non-commutative deformations of perverse coherent sheaves and rational curves
• On non-commutative formal deformations of coherent sheaves on an algebraic variety
• Deformations over non-commutative base
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• DG categories and exceptional collections