The nondegeneration of the Hodge-de Rham spectral sequence

DOI10.1090/S0273-0979-1989-15683-8zbMath0671.32024OpenAlexW2043128589MaRDI QIDQ3824682

Harsh V. Pittie

Publication date: 1989

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-1989-15683-8

zbMATH Keywords

Hodge-de Rham spectral sequencecompact complex homogeneous manifolds

Mathematics Subject Classification ID

Hodge theory in global analysis (58A14) Homogeneous complex manifolds (32M10) Complex manifolds (32Q99)

Related Items (8)

A general description of the terms in the Frölicher spectral sequence ⋮ CYT and SKT metrics on compact semi-simple Lie groups ⋮ Hodge numbers of a hypothetical complex structure on \(S^{6}\) ⋮ The Frölicher spectral sequence can be arbitrarily non-degenerate ⋮ Dolbeault cohomology of compact nilmanifolds ⋮ Dolbeault cohomology of nilmanifolds with left-invariant complex structure ⋮ Dolbeault model and holomorphic fibre bundles ⋮ Invariant complex structures on 6-nilmanifolds: classification, Frölicher spectral sequence and special Hermitian metrics

Cites Work

• The Dolbeault-cohomology ring of a compact, even-dimensional Lie group
• Homogeneous vector bundles
• Cohomology of Lie algebras
• Closed Manifolds with Homogeneous Complex Structure

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