An extension of Hodge theory to Kähler spaces with isolated singularities of restricted type

DOI10.2977/prims/1195175199zbMath0652.32018OpenAlexW2005751018MaRDI QIDQ1106986

Takeo Ohsawa

Publication date: 1988

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/1195175199

zbMATH Keywords

de Rham cohomologyisolated singularityKähler metricHodge theory

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Hodge theory in global analysis (58A14) de Rham cohomology and algebraic geometry (14F40) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25) Complex singularities (32Sxx)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hodge spectral sequence on compact Kähler spaces
• \(L^ 2\)-cohomology of normal algebraic surfaces. I
• Charakterisierung der Holomorphiegebiete durch die vollständige Kählersche Metrik
• \(L^ 2\)-cohomology and index theorem for the Bergman metric
• Addendum to: A reduction theorem for cohomology groups of very strongly q-convex Kaehler manifolds
• \(L_ 2\)-cohomology and intersection homology of certain algebraic varieties with isolated singularities
• Hodge spectral sequence and symmetry on compact Kähler spaces
• Hodge spectral sequence on pseudoconvex domains
• A reduction theorem for cohomology groups of very strongly q-convex Kähler manifolds
• Carleman estimates for the Laplace-Beltrami equation on complex manifolds
• Algebraic approximation of structures over complete local rings
• Théorie de Hodge. II. (Hodge theory. II)
• Théorèmes de finitude pour la cohomologie des espaces complexes
• Flattening Theorem in Complex-Analytic Geometry