Hodge spectral sequence on compact Kähler spaces

DOI10.2977/PRIMS/1195176540zbMath0626.32029OpenAlexW2035073982MaRDI QIDQ580553

Takeo Ohsawa

Publication date: 1987

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195176540

zbMATH Keywords

Hodge spectral sequencepseudoconvexcommutatorsingular cohomologycompact Kähler spaceCourant's minimal principlePoincaré-Dolbeault lemma

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Other homology theories in algebraic topology (55N35) Singular homology and cohomology theory (55N10) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25) Complex spaces (32C15)

Related Items (12)

Hodge spectral sequence and symmetry on compact Kähler spaces ⋮ An extension of Hodge theory to Kähler spaces with isolated singularities of restricted type ⋮ On the L² cohomology of complex spaces II ⋮ A Dolbeault-Grothendieck lemma on complex spaces via Koppelman formulas ⋮ On the infinite dimensionality of the middle \(L^ 2\) cohomology of complex domains ⋮ Pure Hodge structure of the harmonic \(L^ 2\)-forms on singular algebraic surfaces ⋮ Classical Poincaré metric pulled back off singularities using a Chow-type theorem and desingularization ⋮ \(L^2\)-theory for the \(\overline{\partial}\)-operator on compact complex spaces ⋮ On the \(L^2\)-\(\overline{\partial}\)-cohomology of certain complete Kähler metrics ⋮ On the \(L^ 2\) cohomology of complex spaces ⋮ Compactness of the \(\bar{\partial}\)-Neumann operator on singular complex spaces ⋮ LOCAL L² RESULTS FOR $\bar\partial$: THE ISOLATED SINGULARITIES CASE

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