2 8 M ay 2 00 1 Poisson cohomology in dimension two Philippe MONNIER
نویسنده
چکیده
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 K (K = R or C) and recall a result given by Arnold. Then we will compute locally the Poisson cohomology of a particular type of Poisson structure.
منابع مشابه
0 Poisson cohomology in dimension 2 Philippe MONNIER
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 K (K = R or C) and rediscover a result given by Arnold. Then we will compute the Poisson cohomology of these normal forms.
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