Weakly 1-complete manifold and Levi problem

DOI10.2977/prims/1195186709zbMath0465.32011OpenAlexW2030086353MaRDI QIDQ1154586

Takeo Ohsawa

Publication date: 1981

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/1195186709

zbMATH Keywords

vanishing theoremLevi problemholomorphically convex manifoldweakly 1-complete manifold

Mathematics Subject Classification ID

(q)-convexity, (q)-concavity (32F10) Vanishing theorems (32L20) Holomorphically convex complex spaces, reduction theory (32E05)

Related Items (14)

Holomorphic convexity of pseudoconvex spaces in terms of the rank of structural sheaf ⋮ Structure theorems for complete Kähler manifolds and applications to Lefschetz type theorems ⋮ The Bochner-Hartogs dichotomy for weakly 1-complete Kähler manifolds ⋮ Weakly 1‐completeness of holomorphic fiber bundles over compact Kähler manifolds ⋮ A vanishing theorem for \(H^ p(\)X, \(Omega^ q(\)B)) on weakly 1-complete manifolds ⋮ Minimal Kernels and Compact Analytic Objects in Complex Surfaces ⋮ On weakly complete surfaces ⋮ Weakly 1-complete surfaces with singularities and applications ⋮ Application of $L^2$ methods to the Levi problem on complex manifolds ⋮ Weakly complete compex surfaces ⋮ Supplement to 'Weakly 1-complete manifold and Levi problem' ⋮ On weakly 1-complete surfaces without non-constant holomorphic functions ⋮ Cohomology vanishing theorems on weakly 1-complete manifolds ⋮ Holomorphic convexity of pseudoconvex surfaces

Cites Work

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• Vanishing theorems for weakly 1-complete manifolds. II
• Bemerkenswerte pseudokonvexe Mannigfaltigkeiten
• Stetige streng pseudokonvexe Funktionen
• Relativexzeptionelle analytische Mengen. (Relative exceptional analytical sets.)
• A theorem of completeness of characteristic systems for analytic families of compact submanifolds of complex manifolds
• Pseudoconvexity and the problem of Levi
• Le problème de Lévi pour les espaces homogènes

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