On non-commutative formal deformations of coherent sheaves on an algebraic variety

2019/08/29 by Yūjirō Kawamata, Kawamata, Yujiro
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.1908.11483

Abstract

We review the theory of non-commutative deformations of sheaves and describe a versal deformation by using an A-infinity algebra and the change of differentials of an injective resolution. We give some explicit non-trivial examples.

Related

• Non-commutative deformations of perverse coherent sheaves and rational curves
• Non-commutative deformations of simple objects in a category of perverse coherent sheaves
• Deformations over non-commutative base
• Joint deformations of manifolds, coherent sheaves and sections
• Shatz strata in algebraic versal deformation spaces