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Poisson (co)homology and isolated singularities

Anne Pichereau

math.QAarXiv:math/0511201

Abstract

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

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