Extended deformation of Kodaira surfaces

DOI10.1515/CRELLE.2006.003zbMath1122.32012arXivmath/0402440OpenAlexW2018249451MaRDI QIDQ3373089

Yat Sun Poon

Publication date: 13 March 2006

Published in: Journal fur die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0402440

zbMATH Keywords

deformationssymplectic structurescompact complex surfacesKuranishi space

Mathematics Subject Classification ID

Compact complex surfaces (32J15) Deformations of complex structures (32G05)

Related Items (10)

A Hodge-type decomposition of holomorphic Poisson cohomology on nilmanifolds ⋮ Algebraic structure of holomorphic Poisson cohomology on nilmanifolds ⋮ Holomorphic Poisson structure and its cohomology on nilmanifolds ⋮ The Kuranishi space of complex parallelisable nilmanifolds ⋮ Holomorphic Poisson cohomology ⋮ Generalized deformation of complex structures on nilmanifolds ⋮ The Calabi–Yau equation on 4-manifolds over 2-tori ⋮ Weak mirror symmetry of complex symplectic Lie algebras ⋮ Abelian complex structures and generalizations ⋮ Generalized complex structures on Kodaira surfaces

Cites Work

• Generalized complex geometry
• Frobenius\(_\infty\) invariants of homotopy Gerstenhaber algebras. I
• Mirror symmetry is \(T\)-duality
• The cohomology structure of an associative ring
• On the cohomology of compact homogeneous spaces of nilpotent Lie groups
• DEFORMATION OF 2-STEP NILMANIFOLDS WITH ABELIAN COMPLEX STRUCTURES
• Frobenius Manifolds and Formality of Lie Algebras of Polyvector Fields
• DEFORMATIONS OF KODAIRA MANIFOLDS
• Complex structures on nilpotent Lie algebras
• Dolbeault cohomology of compact nilmanifolds
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