Hodge numbers and invariant complex structures of compact nilmanifolds

DOI10.1515/coma-2016-0007zbMath1342.53075OpenAlexW2436837831MaRDI QIDQ297524

Takumi Yamada

Publication date: 27 June 2016

Published in: Complex Manifolds (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/coma-2016-0007

zbMATH Keywords

nilmanifoldcomplex structureDolbeault cohomology group

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Nilpotent and solvable Lie groups (22E25) Other complex differential geometry (53C56) Homology and cohomology of homogeneous spaces of Lie groups (57T15)

Related Items (4)

Remarks on Hodge numbers and invariant complex structures of compact nilmanifolds ⋮ Complex structures on the complexification of a real Lie algebra ⋮ Some relations between Hodge numbers and invariant complex structures on compact nilmanifolds ⋮ Holomorphic vector fields and Hodge numbers of compact pseudo-Kähler nilmanifolds

Cites Work

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• Kähler and symplectic structures on nilmanifolds
• Complex parallelisable manifolds and their small deformations
• On compact complex parallelisable solvmanifolds
• Lefschetz complex conditions for complex manifolds
• Hodge structure on symplectic manifolds
• On the cohomology of compact homogeneous spaces of nilpotent Lie groups
• Minimal Models of Nilmanifolds
• Symplectic manifolds with no Kähler structure
• Dolbeault cohomology of compact nilmanifolds
• Duality of Hodge numbers of compact complex nilmanifolds

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