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

DOI10.1080/00927872.2019.1710520zbMath1439.13036arXiv1812.04947OpenAlexW2999716838MaRDI QIDQ5107047

Matej Filip

Publication date: 22 April 2020

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.04947

zbMATH Keywords

toric varietiesHochschild cohomologyPoisson cohomologydeformations of toric singularities

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Singularities in algebraic geometry (14B05) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Deformations and infinitesimal methods in commutative ring theory (13D10) Deformations of singularities (14B07)

Related Items (1)

On deformation spaces of toric singularities and on singularities of K-moduli of Fano varieties

Cites Work

• Poisson deformations of affine symplectic varieties
• Flops and Poisson deformations of symplectic varieties
• A Hodge-type decomposition for commutative algebra cohomology
• André-Quillen cohomology of monoid algebras
• Hochschild cohomology and deformation quantization of affine toric varieties
• Poisson deformations of symplectic quotient singularities
• Infinitesimal deformation quantization of complex analytic spaces
• Poisson deformations and birational geometry
• Homologie de Quillen pour les algèbres de Poisson
• One-parameter families containing three-dimensional toric Gorenstein singularities
• Unnamed Item

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