Poisson cohomology of plane Poisson structures with isolated singularities revisited
K-Theory and Homology
2021-03-25 v1 Differential Geometry
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.
Keywords
Cite
@article{arxiv.2103.13049,
title = {Poisson cohomology of plane Poisson structures with isolated singularities revisited},
author = {Zihao Qi and Guodong Zhou},
journal= {arXiv preprint arXiv:2103.13049},
year = {2021}
}