Some Dolbeault isomorphisms for locally trivial fiber spaces and applications

DOI10.3792/PJAA.67.168zbMath0749.32022OpenAlexW2073823536MaRDI QIDQ1187016

Takashi Umeno, Hideaki Kazama

Publication date: 28 June 1992

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.67.168

zbMATH Keywords

Fourier expansionStein manifoldDolbeault cohomologyprincipal bundleFrechet spacetoroidal groupholomorphic fibre spaceLeray covering

Mathematics Subject Classification ID

Complex Lie groups, group actions on complex spaces (32M05) Stein spaces (32E10) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Holomorphic bundles and generalizations (32L05) Vanishing theorems (32L20)

Related Items (1)

An analogue of Hartshorne and Serre problems for 1-convex surfaces

Cites Work

• Two remarks concerning toroidal groups
• \({\bar\partial}\)-cohomology of (H,C)-groups
• Groupes de cohomologie d'un fibre holomorphe à base et à fibre de Stein
• \({\bar \partial}\) cohomology of complex Lie groups
• Holomorphic functions with values in locally convex spaces and applications to integral formulas

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