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

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Abstract

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

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Kawamata, Y. (2021). On non-commutative formal deformations of coherent sheaves on an algebraic variety. EMS Surveys in Mathematical Sciences. European Mathematical Society Publishing House. https://doi.org/10.4171/EMSS/49

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