Structures de poisson sur les varietes algebriques de dimension 3

摘要

Poisson structures on algebraic 3-folds. - We classify all algebraic threefolds which admit a quasi-regular Poisson structure (i.e. up to finitely many points, the Poisson tensor has rank 2). We prove that such a manifold is an abelian variety, a flat bundle over an abelian surface or the quotient by a finite group of the product of a curve and a symplectic surface.)