Poisson cohomology in dimension two

Details Poisson cohomology in dimension two Poisson cohomology in dimension two

2000-05-26

arxiv.org/abs/math/0005261v2

Mathematics

Differential Geometry

15 pages

Scientific paper

It is known that the computation of the Poisson cohomology is closely related to the classification of singularities of Poisson structures. In this paper, we will first look for the normal forms of germs at (0,0) of Poisson structures on the real (or complex) plane and recall a result given by Arnold. Then, we will compute locally the Poisson cohomology of a particular type of Poisson structure.

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