Poisson (co)homology and isolated singularities

Anne Pichereau (1)

1 LMA [Poitiers] - Laboratoire de mathématiques et applications [UMR 6086]

To each polynomial $\v\in \F[x,y,z]$ is associated a Poisson structure on $\F^3$, a surface and a Poisson structure on this surface. When $\v$ is weight homogeneous with an isolated singularity, we determine the Poisson cohomology and homology of the two Poisson varieties obtained.

Mots clés: Isolated singularities.; Poisson cohomology; Poisson homology; Isolated singularities

Domaines: Algèbres quantiques [math.QA]

Anne Pichereau. Poisson (co)homology and isolated singularities. Journal of Algebra, 2005, 299 (2), pp.747-777. ⟨10.1016/j.jalgebra.2005.10.029⟩. ⟨hal-00804880⟩