Oka's principle for holomorphic fiber bundles with sprays

DOI10.1007/s002080050361zbMath0964.32017arXivmath/0305238OpenAlexW2016293462MaRDI QIDQ1568220

Franc Forstnerič, Jasna Prezelj

Publication date: 8 July 2001

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0305238

zbMATH Keywords

holomorphic bundleStein spacehomotopy equivalenceholomorphic sections continuously homotopicholomorphic sections holomorphically homotopic

Mathematics Subject Classification ID

Stein spaces (32E10) Homotopy theory (55P99) Holomorphic bundles and generalizations (32L05) Deformations of analytic structures (32G99)

Related Items (18)

Noncritical holomorphic functions on Stein manifolds. ⋮ Extension of holomorphic bundles to the disc (and Serre's problem on Stein bundles) ⋮ The first thirty years of Andersén-Lempert theory ⋮ Oka manifolds: from Oka to Stein and back ⋮ Recent developments on Oka manifolds ⋮ Approximation of holomorphic mappings on strongly pseudoconvex domains ⋮ The generalized Oka-Grauert principle for 1-convex manifolds ⋮ Closed holomorphic 1-forms without zeros on Stein manifolds ⋮ Density property for hypersurfaces \(UV = p({\overline X})\) ⋮ Euclidean domains in complex manifolds ⋮ APPROXIMATION OF HOLOMORPHIC MAPPINGS ON 1-CONVEX DOMAINS ⋮ Stein structures and holomorphic mappings ⋮ On complete intersections ⋮ A relative Oka-Grauert principle for holomorphic submersions over 1-convex spaces ⋮ Holomorphic submersions from Stein manifolds. ⋮ Extending holomorphic mappings from subvarieties in Stein manifolds. ⋮ Holomorphic curves in complex spaces ⋮ EXCISION FOR SIMPLICIAL SHEAVES ON THE STEIN SITE AND GROMOV'S OKA PRINCIPLE

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