Complex symplectic structures and the \(\partial {\bar{\partial }}\)-lemma

DOI10.1007/s10231-017-0672-1zbMath1392.53077arXiv1612.08183OpenAlexW2562196690MaRDI QIDQ681683

Adriano Tomassini, Andrea Cattaneo

Publication date: 13 February 2018

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.08183

zbMATH Keywords

complex symplectic\(\partial \overline{\partial }\)-lemmaBeauville-Bogomolov-Fujiki form

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Analytic sheaves and cohomology groups (32C35) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Other complex differential geometry (53C56)

Related Items (3)

Moduli spaces of stably irreducible sheaves on Kodaira surfaces ⋮ \(\partial\overline{\partial}\)-complex symplectic and Calabi-Yau manifolds: Albanese map, deformations and period maps ⋮ Complex symplectic structures on Lie algebras

Cites Work

• Variétés kähleriennes dont la première classe de Chern est nulle
• Dolbeault-Massey triple products of low degree
• Real homotopy theory of Kähler manifolds
• Compact hyperkähler manifolds: Basic results
• Erratum to: Compact hyperkähler manifolds: basic results
• Bott-Chern cohomology of solvmanifolds
• Symplectic manifolds and isomonodromic deformations

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