Poisson structures over a complete intersection with isolated singularities

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dc.creatorFresse, Benoit
dc.date2002-02-05
dc.date2002-02-14
dc.date.accessioned2026-07-07T04:46:18Z
dc.date.available2026-07-07T04:46:18Z
dc.descriptionWe 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.
dc.descriptionProjet de note aux C.R.Acad.Sci.Paris
dc.identifierhttps://arxiv.org/abs/math/0202038
dc.identifierhttp://arxiv.org/abs/math/0202038
dc.identifierC. R. Acad. Sci. Paris Ser. I Math. 335 (2002), pp. 5-10
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63279
dc.subjectRings and Algebras
dc.subjectCommutative Algebra
dc.subjectSymplectic Geometry
dc.subject17B63; 53D17; 14M10; 14B05; 13N05
dc.titlePoisson structures over a complete intersection with isolated singularities
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