Deformations of holomorphic pseudo-symplectic Poisson manifolds

DOI10.1016/j.aim.2016.09.016zbMath1386.14151arXiv1308.2442OpenAlexW2963085097MaRDI QIDQ329524

Ziv Ran

Publication date: 21 October 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.2442

zbMATH Keywords

Poisson structuredeformation theorycomplex structuresymplectic structuremixed Hodge theorydifferential graded Lie algebralog complexSchouten algebra

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Compact Kähler manifolds: generalizations, classification (32J27) (n)-folds ((n>4)) (14J40) Deformations of special (e.g., CR) structures (32G07)

Related Items (7)

A BOGOMOLOV UNOBSTRUCTEDNESS THEOREM FOR LOG-SYMPLECTIC MANIFOLDS IN GENERAL POSITION ⋮ Elliptic singularities on log symplectic manifolds and Feigin–Odesskii Poisson brackets ⋮ Generalized deformation of complex structures on nilmanifolds ⋮ Constructions and classifications of projective Poisson varieties ⋮ Incidence stratifications on Hilbert schemes of smooth surfaces, and an application to Poisson structures ⋮ Rational Morita equivalence for holomorphic Poisson modules ⋮ Complexes, residues and obstructions for log-symplectic manifolds

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