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math-phJan 1, 2010
22
citations (OpenAlex)
authors
  • Wei Hong
  • Ping Xu
institutions
  • Pennsylvania State University
  • University of Luxembourg
arXiv abstractPDF
paper

Poisson Cohomology of Del Pezzo surfaces

arXiv:1001.1082 · doi:10.1016/j.jalgebra.2010.12.017

Abstract

In this note, we compute the Poisson cohomology groups for any Poisson Del Pezzo surface.

References in corpus (2)

  • Geometry of Maurer-Cartan Elements on Complex Manifolds
  • Holomorphic Koszul-Brylinski Homology

Cited by in corpus (13)

  • Holomorphic Koszul-Brylinski Homology
  • Poisson Cohomology of holomorphic toric Poisson manifolds. I
  • Unobstructed deformations of generalized complex structures induced by C∞ logarithmic symplectic structures and logarithmic Poisson structures
  • A Hodge-Type Decomposition of Holomorphic Poisson Cohomology on Nilmanifolds
  • Formality of the Dolbeault complex and deformations of holomorphic Poisson manifolds
  • Degeneracy of Holomorphic Poisson Spectral Sequence
  • Holomorphic Poisson Cohomology
  • Obstructed and unobstructed Poisson deformations
  • Holomorphic Poisson Structures and its Cohomology on Nilmanifolds
  • Holomorphic Koszul-Brylinski homology via Dolbeault cohomology
  • Deformations of nonsingular Poisson varieties and Poisson invertible sheaves
  • Theorem of existence and completeness for holomorphic Poisson structures
  • Frobenius Structures and Generalized Deformation of Kodaira Manifolds
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