On \(H^{p,q}(X,B)\) of weakly 1-complete manifolds

DOI10.2977/PRIMS/1195186706zbMath0465.32007OpenAlexW1181780578MaRDI QIDQ1154585

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/1195186706

zbMATH Keywords

cohomology groupholomorphic line bundleweakly 1-complete manifoldholomorphic p-forms

Mathematics Subject Classification ID

Analytic sheaves and cohomology groups (32C35) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Holomorphic bundles and generalizations (32L05) Plurisubharmonic functions and generalizations (32U05)

Related Items (7)

Pseudo-effective line bundles over holomorphically convex manifolds ⋮ Isomorphism theorems for cohomology groups of weakly 1-complete manifolds ⋮ A vanishing theorem for \(H^ p(\)X, \(Omega^ q(\)B)) on weakly 1-complete manifolds ⋮ Variants of Hörmander's theorem on \(q\)-convex manifolds by a technique of infinitely many weights ⋮ A survey on the \(L^2\) extension theorems ⋮ Representation theorems of cohomology on weakly 1-complete manifolds ⋮ Cohomology vanishing theorems on weakly 1-complete manifolds

Cites Work

• Finiteness theorems on weakly 1-complete manifolds
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Lectures on Levi convexity of complex manifolds and cohomology vanishing theorems. Notes by M.S.Raghunathan
• On the inverse of monoidal transformation

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