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arXiv · 2103.13049

Poisson cohomology of plane Poisson structures with isolated singularities revisited

Zihao Qi·Guodong Zhou
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Abstract

Continuing a work of Ph.~Monnier, we determine the Gerstenhaber algebra structure over the Poisson cohomology groups for a large class of Poisson structures with isolated singularities over the plane. It reveals that there exists a GAGA type phenomenon. We give an explicit description via generators and relations for the case of simple singularities.

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Zihao Qi, Guodong Zhou. 2021-03-24. Poisson cohomology of plane Poisson structures with isolated singularities revisited. https://doi.org/10.1063/5.0014574

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