Some relations between Hodge numbers and invariant complex structures on compact nilmanifolds

DOI10.1515/COMA-2017-0006zbMath1386.53055OpenAlexW2627050033MaRDI QIDQ1683997

Takumi Yamada

Publication date: 4 December 2017

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

Full work available at URL: https://doi.org/10.1515/coma-2017-0006

zbMATH Keywords

nilmanifoldcomplex structureDolbeault cohomology group

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Nilpotent and solvable Lie groups (22E25)

Related Items (2)

Complex structures on the complexification of a real Lie algebra ⋮ Some relations between complex structures on compact nilmanifolds and flag manifolds

Cites Work

• Unnamed Item
• Hodge numbers and invariant complex structures of compact nilmanifolds
• Remarks on Hodge numbers and invariant complex structures of compact nilmanifolds
• Complex parallelisable manifolds and their small deformations
• On compact complex parallelisable solvmanifolds
• Lie-algebra Dolbeault-cohomology and small deformations of nilmanifolds
• Complex structures on nilpotent Lie algebras
• Dolbeault cohomology of compact nilmanifolds
• Duality of Hodge numbers of compact complex nilmanifolds

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