Poisson Cohomology of holomorphic toric Poisson manifolds. I

Wei Hong

doi:10.1016/j.jalgebra.2019.03.001

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arXiv · 1611.08485

Poisson Cohomology of holomorphic toric Poisson manifolds. I

Wei Hong

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Abstract

A holomorphic toric Poisson manifold is a nonsingular toric variety equipped with a holomorphic Poisson structure, which is invariant under the torus action. In this paper, we computed the Poisson cohomology groups for all holomorphic toric Poisson structures on $CP^n$, with the stand Poisson structure on $CP^n$ as a special case. We also computed the algebraic and the formal Poisson cohomology groups of holomorphic toric Poisson structures on $C^n$.

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Wei Hong. 2017-07-07. Poisson Cohomology of holomorphic toric Poisson manifolds. I. https://doi.org/10.1016/j.jalgebra.2019.03.001

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