Deformations of nonsingular Poisson varieties and Poisson invertible sheaves

DOI10.1215/21562261-2019-0042zbMath1454.14009arXiv1412.3303OpenAlexW3105900022MaRDI QIDQ778843

Chunghoon Kim

Publication date: 20 July 2020

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.3303

zbMATH Keywords

obstructionsPoisson cohomologydeformations of invertible sheavesinfinitesimal deformations of algebraic schemesPoisson deformationsPoisson invertible sheavesPoisson vector bundles

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Poisson algebras (17B63) Infinitesimal methods in algebraic geometry (14B10) Local deformation theory, Artin approximation, etc. (14B12) Deformations of special (e.g., CR) structures (32G07)

Related Items

Poisson cohomology of holomorphic toric Poisson manifolds. I

Cites Work

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• Poisson deformations of affine symplectic varieties
• Poisson cohomology of Del Pezzo surfaces
• Flops and Poisson deformations of symplectic varieties
• Algebraic geometry of Poisson brackets
• Poisson deformations of symplectic quotient singularities
• Poisson Structures
• Deformations of Algebraic Schemes
• Deformation Theory