paper

A differential graded Lie algebra controlling the Poisson deformations of an affine Poisson variety

arXiv:1812.04947

Abstract

We construct a differential graded Lie algebra $\fg$ controlling the Poisson deformations of an affine Poisson variety. We analyse $\fg$ in the case of affine Gorenstein toric Poisson varieties. Moreover, explicit description of the second and third Hochschild cohomology groups is given for three-dimensional affine Gorenstein toric varieties.

arXiv admin note: text overlap with arXiv:1803.07486