Complex abelian Lie groups with finite-dimensional cohomology groups

DOI10.2969/JMSJ/03610091zbMath0529.32012OpenAlexW1985680067WikidataQ115225867 ScholiaQ115225867MaRDI QIDQ787344

Hideaki Kazama, Takashi Umeno

Publication date: 1984

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/03610091

zbMATH Keywords

complex torusconnected complex Lie groups without nonconstant holomorphic functionsfinite dimension of cohomology groupspseudoconvexity of complex Lie group

Mathematics Subject Classification ID

General properties and structure of complex Lie groups (22E10) Complex Lie groups, group actions on complex spaces (32M05) Pseudoconvex domains (32T99)

Related Items (9)

An analogue of Hartshorne and Serre problems for 1-convex surfaces ⋮ \({\bar\partial}\)-problem on a family of weakly pseudoconvex manifolds ⋮ -problem on weakly 1-complete Kähler manifolds ⋮ \({\bar \partial}\) cohomology of complex Lie groups ⋮ (H, C)-groups with positive line bundles ⋮ Cohomology of the fundamental groups of toroidal groups ⋮ Homogeneous line bundles over a toroidal group ⋮ 𝔬_K0-quasi-abelian varieties with complex multiplication ⋮ \({\bar\partial}\)-cohomology of (H,C)-groups

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