Extension of holomorphic bundles to the disc (and Serre's problem on Stein bundles)

DOI10.5802/aif.2267zbMath1123.32013arXivmath/0610688OpenAlexW1922539772MaRDI QIDQ2372805

Jean-Pierre Rosay

Publication date: 1 August 2007

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610688

zbMATH Keywords

Stein manifoldsholomorphic bundlesgroups of automorphisms of \({\mathbb C}^n\)

Mathematics Subject Classification ID

Stein manifolds (32Q28) Holomorphic bundles and generalizations (32L05) Automorphism groups of (mathbb{C}^n) and affine manifolds (32M17)

Cites Work

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• Approximation of biholomorphic mappings by automorphisms of \(\mathbb{C}^ n\)
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• Fibres holomorphes à base et à fibre de Stein
• Un exemple de fibre holomorphe non de Stein à fibre \(C^2\) ayant pour base le disque ou le plan
• Oka's principle for holomorphic fiber bundles with sprays
• Oka's Principle for Holomorphic Sections of Elliptic Bundles
• On ${\mathbf{R}}^{+}$ and ${\mathbf{C}}$ complete holomorphic vector fields
• One parameter automorphism groups onC²
• Über ganze birationale Transformationen der Ebene.

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