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Zbl 0949.37035
Wade, A\" issa
Local models of three-dimensional singular Poisson structures. (Modèles locaux de structures de Poisson singulières en dimension 3.)
(French)
[J] Bull. Soc. Math. Fr. 125, No.4, 573-618 (1997). ISSN 0037-9484

Summary: Classification of smooth Poisson structures with zero 1-jet at a point, is studied. In dimension 3, we show that the family of Poisson structures with quadratic and ``diagonalizable'' 2-jet admits four important classes. This classification is applied to obtain the classification of singular integrable 1-forms.
MSC 2000:
*37J05 Relations with symplectic geometry and topology
37K25 Relations with differential geometry
53D17 Poisson manifolds

Keywords: diagonalizable 2-jet; Poisson structures; singular integrable 1-forms

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Scientific prize winners of the ICM 2010
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