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Singularities and bifurcations of 3-dimensional Poisson structure

J. -P. Dufour, M. Zhitomirskii

math.DGarXiv:math/9802115

Abstract

We give a normal form for families of 3-dimensional Poisson structures. This allows us to classify singularities with nonzero 1-jet and typical bifurcations. The Appendix contains corollaries on classification of families of integrable 1-forms on $R3

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