Finiteness theorems on weakly 1-complete manifolds

DOI10.2977/prims/1195187880zbMath0434.32014OpenAlexW1972870397MaRDI QIDQ1139704

Takeo Ohsawa

Publication date: 1979

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/1195187880

zbMATH Keywords

cohomology groupsholomorphic line bundlesfiniteness theoremsweakly 1-complete manifolds

Mathematics Subject Classification ID

Analytic sheaves and cohomology groups (32C35) (q)-convexity, (q)-concavity (32F10) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10)

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Cites Work

• Vanishing theorems for weakly 1-complete manifolds. II
• Stetige streng pseudokonvexe Funktionen
• Lectures on Levi convexity of complex manifolds and cohomology vanishing theorems. Notes by M.S.Raghunathan
• Two theorems on modifications of analytic spaces
• On Kähler varieties of restricted type. (An intrinsic characterization of algebraic varieties.)