Noncommutative del Pezzo surfaces and Calabi-Yau algebras
Noncommutative del Pezzo surfaces and Calabi-Yau algebras
The hypersurface in \mathbb C^3 with an isolated quasi-homogeneous elliptic singularity of type \tilde E_r , r= 6, 7, 8 , has a natural Poisson structure. We show that the family of del Pezzo surfaces of the corresponding type E_r provides a semiuniversal Poisson deformation of that Poisson structure. We …