Geodesic
Linearizability of Poisson structures around singular symplectic leaves
Matematičeskie zametki, Tome 80 (2006) no. 6, pp. 825-837

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The linearization problem for a Poisson structure near a singular symplectic leaf of nonzero dimension is studied. We obtain the following generalization of the Conn linearization theorem: if the transverse Lie algebra of the leaf is semisimple and compact, then the Poisson structure is linearizable, provided that certain cohomological obstructions vanish. 
@article{MZM_2006_80_6_a2,
     author = {Yu. M. Vorob'ev},
     title = {Linearizability of {Poisson} structures around singular symplectic leaves},
     journal = {Matemati\v{c}eskie zametki},
     pages = {825--837},
     publisher = {mathdoc},
     volume = {80},
     number = {6},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2006_80_6_a2/}
}
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Yu. M. Vorob'ev. Linearizability of Poisson structures around singular symplectic leaves. Matematičeskie zametki, Tome 80 (2006) no. 6, pp. 825-837. http://geodesic.mathdoc.fr/item/MZM_2006_80_6_a2/