\({\bar\partial}\)-problem on a family of weakly pseudoconvex manifolds

DOI10.3792/pjaa.62.19zbMath0599.32017OpenAlexW2020151469MaRDI QIDQ1080000

Hideaki Kazama, Kwang Ho Shon

Publication date: 1986

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.62.19

zbMATH Keywords

cohomology groupcomplex torusholomorphic line bundlePicard variety\({\bar \partial }\)-problemweakly pseudoconvex manifold

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Pseudoconvex domains (32T99)

Cites Work

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• Two remarks concerning toroidal groups
• Complex abelian Lie groups with finite-dimensional cohomology groups
• \({\bar\partial}\)-cohomology of (H,C)-groups
• Bemerkenswerte pseudokonvexe Mannigfaltigkeiten
• On pseudo-convexity of complex abelian Lie groups
• Line bundles on toroidal groups.