The Gerstenhaber product HH2(A)×HH2(A)→HH3(A) of affine toric varieties

DOI10.1080/00927872.2020.1828906zbMath1467.13022arXiv1803.07486OpenAlexW3091904039MaRDI QIDQ5856284

Matej Filip

Publication date: 25 March 2021

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

Full work available at URL: https://arxiv.org/abs/1803.07486

zbMATH Keywords

toric varietiesHochschild cohomologyHarrison cohomologyGerstenhaber product

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

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

Cites Work

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• Deformations of smooth complete toric varieties: obstructions and the cup product
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• Cohomology of monoid algebras
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• Infinitesimal deformations and obstructions for toric singularities
• Hochschild cohomology and deformation quantization of affine toric varieties
• Deformations of singularities
• Infinitesimal deformation quantization of complex analytic spaces
• One-parameter families containing three-dimensional toric Gorenstein singularities

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