Fibres holomorphes à base et à fibre de Stein

DOI10.1007/BF01390000zbMath0365.32018WikidataQ56608228 ScholiaQ56608228MaRDI QIDQ1241628

Henri Skoda

Publication date: 1977

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142510

Mathematics Subject Classification ID

Stein spaces (32E10) Holomorphic bundles and generalizations (32L05) Fiber spaces in algebraic topology (55R05)

Related Items (22)

Mesures de Monge-Ampère et caractérisation géométrique des variétés algébriques affines ⋮ Some convexity properties of morphisms of complex spaces ⋮ Extension of holomorphic bundles to the disc (and Serre's problem on Stein bundles) ⋮ The Serre problem with Reinhardt fibers. ⋮ On the cohomology groups of holomorphic Banach bundles ⋮ On the existence of nontrivial 3-folds with vanishing Hodge cohomology ⋮ On the local pseudoconvexity of certain analytic families of $\mathbb{C}$ ⋮ Groupes de cohomologie d'un fibre holomorphe à base et à fibre de Stein ⋮ Fonctions plurisousharmoniques d'exhaustion bornees et domaines taut ⋮ Stein spaces with plurisubharmonic bounded exhaustion functions ⋮ Serre problem for unbounded pseudoconvex Reinhardt domains in \(\mathbb{C}^{2}\) ⋮ Problème de Levi et morphisme localement de Stein. (Problem of Levi and locally Stein morphism) ⋮ The Serre problem on Riemann surfaces ⋮ Holomorphic functions on bundles over annuli ⋮ Some open problems concerningq-convexity and Stein spaces ⋮ Pseudoconvexity and the problem of Levi ⋮ Steinness of bundles with fiber a Reinhardt bounded domain ⋮ Un exemple de fibre holomorphe non de Stein à fibre \(C^2\) ayant pour base le disque ou le plan ⋮ Locally trivial fibrations with singular 1-dimensional Stein fiber over q-complete spaces ⋮ Geometry of domains with the uniform squeezing property ⋮ An envelope of holomorphy for certain normal complex spaces ⋮ One dimensional fibering over q-complete spaces

Cites Work

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• Überlagerungen holomorph-vollständiger komplexer Räume
• All plane domains are Banach-Stein
• Sur le problème de Levi dans certains fibres
• Holomorphic fiber bundles whose fibers are bounded Stein domains with zero first Betti number
• Pseudoconvex domains: bounded strictly plurisubharmonic exhaustion functions
• Hilbert spaces of holomorphic functions on bounded domains
• Über die Holomorphie-Vollständigkeit lokal trivialer Faserräume. (On the holomorphy-completeness of locally trivial fiber spaces)
• Sur certains espaces fibrés holomorphes sur une variété de Stein
• Holomorph-vollständige Faserbündel

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