Abstract
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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Translated fromMatematicheskie Zametki, Vol. 63, No. 4, pp. 579–592, April, 1998.
The author wishes to thank the referee for pointing out reference [3] and for other useful remarks.
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Lychagina, O.V. Degenerate Poisson structures in dimension 3. Math Notes 63, 509–521 (1998). https://doi.org/10.1007/BF02311254
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DOI: https://doi.org/10.1007/BF02311254