Poisson cohomology of Del Pezzo surfaces

DOI10.1016/j.jalgebra.2010.12.017zbMath1234.14018arXiv1001.1082OpenAlexW2164393075MaRDI QIDQ657966

Ping Xu, Hong, Wei

Publication date: 11 January 2012

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

Full work available at URL: https://arxiv.org/abs/1001.1082

zbMATH Keywords

Del Pezzo surfacePoisson cohomology

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) Mirror symmetry (algebro-geometric aspects) (14J33)

Related Items (11)

A Hodge-type decomposition of holomorphic Poisson cohomology on nilmanifolds ⋮ Algebraic structure of holomorphic Poisson cohomology on nilmanifolds ⋮ Poisson cohomology of broken Lefschetz fibrations ⋮ Holomorphic Poisson structure and its cohomology on nilmanifolds ⋮ Poisson cohomology of holomorphic toric Poisson manifolds. I ⋮ Holomorphic Poisson cohomology ⋮ Poisson cohomology of two Fano threefolds ⋮ Deformations of nonsingular Poisson varieties and Poisson invertible sheaves ⋮ Hochschild cohomology of noncommutative planes and quadrics ⋮ Formality of the Dolbeault complex and deformations of holomorphic Poisson manifolds ⋮ Holomorphic Koszul-Brylinski homology via Dolbeault cohomology

Cites Work

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• Noncommutative del Pezzo surfaces and Calabi-Yau algebras
• Generalized complex geometry
• Mirror symmetry for Del Pezzo surfaces: Vanishing cycles and coherent sheaves
• Geometry of Maurer-Cartan elements on complex manifolds
• Blowing up of non-commutative smooth surfaces
• Holomorphic Koszul-Brylinski Homology
• Noncommutative Quadrics
• On the variety of Lagrangian subalgebras, II
• Holomorphic Poisson Manifolds and Holomorphic Lie Algebroids
• Generalized Calabi-Yau Manifolds
• Deformation quantization of algebraic varieties.

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