Geodesic
Degenerate Poisson structures in dimension 3
Matematičeskie zametki, Tome 63 (1998) no. 4, pp. 579-592.

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Formal normal forms of degenerate Poisson structures in dimension 3 are described. The main tool of the study is a spectral sequence previously introduced by the author. In particular, this method allows one to obtain a new proof of the linearizability of Poisson structures with semisimple linear part. However, there are nonlinearizable Poisson structures in dimension 3 as well. 
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O. V. Lychagina. Degenerate Poisson structures in dimension 3. Matematičeskie zametki, Tome 63 (1998) no. 4, pp. 579-592. http://geodesic.mathdoc.fr/item/MZM_1998_63_4_a10/

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