Poisson (co)homology and isolated singularities

Details Poisson (co)homology and isolated singularities Poisson (co)homology and isolated singularities

2005-11-08

arxiv.org/abs/math/0511201v2

Journal of algebra, Volume 299, Issue 2 , 15 May 2006, Pages 747-777

Mathematics

Quantum Algebra

27 pages

Scientific paper

10.1016/j.jalgebra.2005.10.029

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.

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