Oka's principle for holomorphic submersions with sprays
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Publication:1599501
DOI10.1007/s002080100249zbMath1011.32006arXivmath/0101040OpenAlexW3102166038MaRDI QIDQ1599501
Jasna Prezelj, Franc Forstnerič
Publication date: 10 June 2002
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0101040
Stein spaces (32E10) Topological aspects of complex manifolds (32Q55) Holomorphic bundles and generalizations (32L05)
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On the number of factors in the unipotent factorization of holomorphic mappings into $SL_{2}(\mathbb{C})$ ⋮ Noncritical holomorphic functions on Stein manifolds. ⋮ An interpolation theorem for proper holomorphic embeddings ⋮ Noncritical holomorphic functions on Stein spaces ⋮ Oka manifolds: from Oka to Stein and back ⋮ Holomorphic families of nonequivalent embeddings and of holomorphic group actions on affine space ⋮ Recent developments on Oka manifolds ⋮ Oka properties of complements of holomorphically convex sets ⋮ A homotopy theorem for Oka theory ⋮ Approximation of holomorphic mappings on strongly pseudoconvex domains ⋮ Closed holomorphic 1-forms without zeros on Stein manifolds ⋮ Density property for hypersurfaces \(UV = p({\overline X})\) ⋮ APPROXIMATION OF HOLOMORPHIC MAPPINGS ON 1-CONVEX DOMAINS ⋮ On complete intersections ⋮ A relative Oka-Grauert principle for holomorphic submersions over 1-convex spaces ⋮ Holomorphic submersions from Stein manifolds. ⋮ Oka maps ⋮ Extending holomorphic mappings from subvarieties in Stein manifolds. ⋮ Oka complements of countable sets and nonelliptic Oka manifolds ⋮ Thom's jet transversality theorem for regular maps ⋮ Embedding some Riemann surfaces into \({\mathbb {C}^2}\) with interpolation ⋮ Holomorphic factorization of mappings into \(\mathrm{SL}_n(\mathbb{C})\) ⋮ EXCISION FOR SIMPLICIAL SHEAVES ON THE STEIN SITE AND GROMOV'S OKA PRINCIPLE ⋮ NON-EQUIVALENT EMBEDDINGS INTO COMPLEX EUCLIDEAN SPACES
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