Poisson structures over a complete intersection with isolated singularities
Rings and Algebras
2007-05-23 v2 Commutative Algebra
Symplectic Geometry
Abstract
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.
Cite
@article{arxiv.math/0202038,
title = {Poisson structures over a complete intersection with isolated singularities},
author = {Benoit Fresse},
journal= {arXiv preprint arXiv:math/0202038},
year = {2007}
}
Comments
Projet de note aux C.R.Acad.Sci.Paris