Complexes, residues and obstructions for log-symplectic manifolds

DOI10.1007/s10455-022-09881-xOpenAlexW4308445926MaRDI QIDQ2097202

Ziv Ran

Publication date: 11 November 2022

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.01392

zbMATH Keywords

Poisson structuredeformation theorymixed Hodge theorylog complexlog-symplectic manifold

Mathematics Subject Classification ID

Calabi-Yau theory (complex-analytic aspects) (32Q25) Poisson manifolds; Poisson groupoids and algebroids (53D17) Rational and birational maps (14E05) Compact Kähler manifolds: generalizations, classification (32J27) (n)-folds ((n>4)) (14J40) Deformations of special (e.g., CR) structures (32G07)

Cites Work

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• Deformations of holomorphic pseudo-symplectic Poisson manifolds
• Flops and Poisson deformations of symplectic varieties
• Algebraic geometry of Poisson brackets
• Poisson deformations of symplectic quotient singularities
• Poisson structures and their normal forms
• Deformations of log-symplectic structures
• A characterization of diagonal Poisson structures
• Generalized Calabi-Yau Manifolds

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