English

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

Algebraic Geometry 2019-10-29 v2

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.

Keywords

Cite

@article{arxiv.1908.11483,
  title  = {On non-commutative formal deformations of coherent sheaves on an algebraic variety},
  author = {Yujiro Kawamata},
  journal= {arXiv preprint arXiv:1908.11483},
  year   = {2019}
}

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24 pages