Geodesic
Noncommutative del Pezzo surfaces and Calabi-Yau algebras
Journal of the European Mathematical Society, Tome 12 (2010) no. 6, pp. 1371-1416.

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The hypersurface in C3 with an isolated quasi-homogeneous elliptic singularity of type E~r​, r=6,7,8, has a natural Poisson structure. We show that the family of del Pezzo surfaces of the corresponding type Er​ provides a semiuniversal Poisson deformation of that Poisson structure.
DOI : 10.4171/jems/235
Classification : 14-XX, 00-XX 
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     author = {Pavel Etingof and Victor Ginzburg},
     title = {Noncommutative del {Pezzo} surfaces and {Calabi-Yau} algebras},
     journal = {Journal of the European Mathematical Society},
     pages = {1371--1416},
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     year = {2010},
     doi = {10.4171/jems/235},
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Pavel Etingof; Victor Ginzburg. Noncommutative del Pezzo surfaces and Calabi-Yau algebras. Journal of the European Mathematical Society, Tome 12 (2010) no. 6, pp. 1371-1416. doi : 10.4171/jems/235. http://geodesic.mathdoc.fr/articles/10.4171/jems/235/

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