Geodesic
On non-commutative formal deformations of coherent sheaves on an algebraic variety
Yujiro Kawamata1 orcid
1University of Tokyo, Japan
EMS surveys in mathematical sciences, Tome 8 (2021), pp. 237-263

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DOI

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.
DOI : 10.4171/emss/49
Classification : 14-XX, 00-XX
Mots-clés : Non-commutative deformation, coherent sheaf, A∞-algebra, dg algebra, versal deformation

Yujiro Kawamata  1

1 University of Tokyo, Japan 
Yujiro Kawamata. On non-commutative formal deformations of coherent sheaves on an algebraic variety. EMS surveys in mathematical sciences, Tome 8 (2021), pp. 237-263. doi: 10.4171/emss/49
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     title = {On non-commutative formal deformations of coherent sheaves on an algebraic variety},
     journal = {EMS surveys in mathematical sciences},
     pages = {237--263},
     year = {2021},
     volume = {8},
     doi = {10.4171/emss/49},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/emss/49/}
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