Poisson Cohomology of Del Pezzo surfaces

Abstract

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

References in corpus (6)

• Deformation quantization of algebraic varieties
• Mirror symmetry for Del Pezzo surfaces: Vanishing cycles and coherent sheaves
• Blowing up non-commutative smooth surfaces
• On the variety of Lagrangian subalgebras
• 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 $C^{\infty }$ 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