2018/12/11 by Matej Filip, Filip, Matej
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AG
paper · pdf · doi:10.48550/arxiv.1812.04947
arXiv admin note: text overlap with arXiv:1803.07486
arxiv created 2018/12/11 · openalex publication_date 2018/12/11 · arxiv updated 2018/12/13 · openalex created_date 2022/08/01 · openalex updated_date 2026/07/28
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.