A Hodge-type decomposition of holomorphic Poisson cohomology on nilmanifolds
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Publication:1684000
DOI10.1515/coma-2017-0009zbMath1386.53101arXiv1710.10950OpenAlexW3102679998MaRDI QIDQ1684000
Publication date: 4 December 2017
Published in: Complex Manifolds (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.10950
Spectral sequences, hypercohomology (18G40) Period matrices, variation of Hodge structure; degenerations (32G20) Poisson manifolds; Poisson groupoids and algebroids (53D17) Variation of Hodge structures (algebro-geometric aspects) (14D07) Generalized geometries (à la Hitchin) (53D18)
Related Items (5)
Algebraic structure of holomorphic Poisson cohomology on nilmanifolds ⋮ Poisson cohomology of holomorphic toric Poisson manifolds. I ⋮ Generalized deformation of complex structures on nilmanifolds ⋮ Abelian complex structures and generalizations ⋮ Holomorphic Koszul-Brylinski homology via Dolbeault cohomology
Cites Work
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- Local classification of generalized complex structures
- Differential Gerstenhaber algebras of generalized complex structures
- Holomorphic Poisson cohomology
- Generalized complex geometry
- Poisson cohomology of Del Pezzo surfaces
- Instantons, Poisson structures and generalized Kähler geometry
- Holomorphic Poisson structure and its cohomology on nilmanifolds
- Deformations of generalized complex generalized Kähler structures
- Les variétés de Poisson et leurs algèbres de Lie associees
- Lectures on the geometry of Poisson manifolds
- Manin triples for Lie bialgebroids
- On certain locally homogeneous Clifford manifolds
- Unobstructed Deformations of Generalized Complex Structures Induced by $$C^{\infty } $$ C ∞ Logarithmic Symplectic Structures and Logarithmic Poisson Structures
- Extended deformation of Kodaira surfaces
- DEFORMATION OF 2-STEP NILMANIFOLDS WITH ABELIAN COMPLEX STRUCTURES
- Holomorphic Poisson Manifolds and Holomorphic Lie Algebroids
- Generalized Calabi-Yau Manifolds
- Deformations of holomorphic Poisson manifolds
- Complex structures on nilpotent Lie algebras
- Dolbeault cohomology of compact nilmanifolds
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