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Normal forms of Poisson structures. (English. Russian original) Zbl 0915.58095
Math. Notes 61, No. 2, 180-192 (1997); translation from Mat. Zametki 61, No. 2, 220-235 (1997).
In this paper is considered an application of Poisson cohomology to the problem of formal classification of degenerate Poisson structures. In the paper are also described the normal forms of degenerate Poisson structures in terms of the spectral sequence associated with a filtration on a complex, specially constructed for this purpose.

37G05 Normal forms for dynamical systems
Full Text: DOI
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