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

  • Yujiro Kawamata

    University of Tokyo, Japan
On non-commutative formal deformations of coherent sheaves on an algebraic variety cover
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Abstract

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

Cite this article

Yujiro Kawamata, On non-commutative formal deformations of coherent sheaves on an algebraic variety. EMS Surv. Math. Sci. 8 (2021), no. 1/2, pp. 237–263

DOI 10.4171/EMSS/49