Hodge spectral sequence and symmetry on compact Kähler spaces

DOI10.2977/prims/1195176250zbMath0635.32008OpenAlexW2073430623MaRDI QIDQ1097376

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/1195176250

zbMATH Keywords

Hodge relationsq-completenesssingular Kähler spaces

Mathematics Subject Classification ID

Analytic sheaves and cohomology groups (32C35) (q)-convexity, (q)-concavity (32F10) Local differential geometry of Hermitian and Kählerian structures (53B35) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25)

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Cites Work

• Unnamed Item
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• Hodge spectral sequence on compact Kähler spaces
• Isomorphism theorems for cohomology groups of weakly 1-complete manifolds
• Cohomology vanishing theorems on weakly 1-complete manifolds
• Hodge spectral sequence on pseudoconvex domains
• Carleman estimates for the Laplace-Beltrami equation on complex manifolds
• Théorèmes de finitude pour la cohomologie des espaces complexes