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arXiv · 1911.04331

Poisson Cohomology of holomorphic toric Poisson manifolds. II

Wei Hong
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Abstract

In this paper, we give a description of holomorphic multi-vector fields on smooth compact toric varieties, which generalizes Demazure's result of holomorphic vector fields on toric varieties. Based on the result, we compute the Poisson cohomology groups of holomorphic toric Poisson manifolds, i.e., toric varieties endowed with $T$-invariant holomorphic Poisson structures.

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Wei Hong. 2019-11-07. Poisson Cohomology of holomorphic toric Poisson manifolds. II. https://arxiv.org/abs/1911.04331

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