Poisson structures over a complete intersection with isolated singularities

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We study Poisson structures over singular varieties. In this purpose, we consider the Koszul complex associated to the equations of a complete intersection. This complex forms a differential graded algebra which is equivalent to the algebra of the variety. We show that a Poisson structure is equivalent to a sequence of multiderivations over the Koszul complex. If our variety has isolated singularities, then we can construct a sequence of multiderivations of reduced form.
Projet de note aux C.R.Acad.Sci.Paris

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Rings and Algebras, Commutative Algebra, Symplectic Geometry, 17B63; 53D17; 14M10; 14B05; 13N05

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http://salesiana.dossiersoluciones.com/handle/123456789/63279

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0202038
 http://arxiv.org/abs/math/0202038
 C. R. Acad. Sci. Paris Ser. I Math. 335 (2002), pp. 5-10

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arXiv