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Poisson structures on algebraic threefolds

Druel Stephane
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Abstract

The aim of this paper is to find all algebraic threefolds admitting quasi-regular Poisson structure. There are three types of such varieties: abelian varieties, smooth flat conic bundles over abelian surfaces and quotients of the product of a curve and a symplectic surface by a finite group.

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Druel Stephane. 1998-03-16. Poisson structures on algebraic threefolds. https://arxiv.org/abs/math/9803069

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