Duality of Hodge numbers of compact complex nilmanifolds

DOI10.1515/COMA-2015-0012zbMath1333.53072OpenAlexW2563116049MaRDI QIDQ5962778

Takumi Yamada

Publication date: 24 February 2016

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

Full work available at URL: https://doi.org/10.1515/coma-2015-0012

zbMATH Keywords

nilmanifoldcomplex structureDolbeault cohomology group

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Nilpotent and solvable Lie groups (22E25) Hodge theory in global analysis (58A14)

Related Items (4)

Hodge numbers and invariant complex structures of compact nilmanifolds ⋮ Remarks on Hodge numbers and invariant complex structures of compact nilmanifolds ⋮ 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

• Complex structures and non-degenerate closed 2-forms of compact real parallelizable nilmanifolds
• Kähler and symplectic structures on nilmanifolds
• Complex parallelisable manifolds and their small deformations
• On compact complex parallelisable solvmanifolds
• Lefschetz complex conditions for complex manifolds
• Minimal Models of Nilmanifolds
• MODULI SPACES OF TOPOLOGICAL CALIBRATIONS, CALABI–YAU, HYPERKÄHLER, G₂ and SPIN(7) STRUCTURES
• Symplectic manifolds with no Kähler structure
• Complex structures on nilpotent Lie algebras
• Dolbeault cohomology of compact nilmanifolds

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