A differential graded Lie algebra controlling the Poisson deformations of an affine Poisson variety
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.
- Publication:
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arXiv e-prints
- Pub Date:
- December 2018
- DOI:
- 10.48550/arXiv.1812.04947
- arXiv:
- arXiv:1812.04947
- Bibcode:
- 2018arXiv181204947F
- Keywords:
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- Mathematics - Algebraic Geometry
- E-Print:
- arXiv admin note: text overlap with arXiv:1803.07486