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. 
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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/

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