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Oka manifolds: from Oka to Stein and back (Q394251)

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Language	Label	Description	Also known as
English	Oka manifolds: from Oka to Stein and back	scientific article

Statements

scholarly article

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Oka manifolds: from Oka to Stein and back (English)

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Franc Forstnerič

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Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI

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publication date

24 January 2014

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full work available at URL

https://arxiv.org/abs/1211.6383

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zbMATH Keywords

Oka-Grauert principle

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Stein manifolds

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Oka manifolds

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Gromov's ellipticity

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MaRDI profile type

MaRDI publication profile

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Null curves and directed immersions of open Riemann surfaces

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Flexible varieties and automorphism groups

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Flag varieties, toric varieties, and suspensions: Three instances of infinite transitivity

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Entwicklung analytischer Funktionen auf Riemannschen Flächen

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Mappings of Partially Analytic Spaces

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Compact Manifolds and Hyperbolicity

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Tame sets, dominating maps, and complex tori

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Algebraic surfaces holomorphically dominable by \(\mathbb{C}^2\)

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Orbifolds, special varieties and classification theory.

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Orbifolds, special varieties and classification theory: appendix.

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On the h-principle and specialness for complex projective manifolds

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Holomorphic curves in complex spaces

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Approximation of holomorphic mappings on strongly pseudoconvex domains

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Intrinsic measures on complex manifolds and holomorphic mappings

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TOPOLOGICAL CHARACTERIZATION OF STEIN MANIFOLDS OF DIMENSION >2

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Nonsingular mappings of Stein manifolds

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Embeddings of Stein manifolds of dimension \(n\) into the affine space of dimension \(3n/2+1\)

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Plongements des variétés de Stein

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The Oka principle for sections of subelliptic submersions

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Extending holomorphic mappings from subvarieties in Stein manifolds.

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Runge approximation on convex sets implies the Oka property

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Manifolds of holomorphic mappings from strongly pseudoconvex domains

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The Oka principle for sections of stratified fiber bundles

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Invariance of the parametric Oka property

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Stein Manifolds and Holomorphic Mappings

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Survey of Oka theory

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Oka's principle for holomorphic fiber bundles with sprays

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Extending holomorphic sections from complex subvarieties

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Oka's principle for holomorphic submersions with sprays

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Oka properties of ball complements

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Stein structures and holomorphic mappings

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Bordered Riemann surfaces in \(\mathbb C^2\)

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Fibrations and Stein neighborhoods

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Simplicial homotopy theory

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Handlebody construction of Stein surfaces

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Stein surfaces as open subsets of \(\mathbb C^2\)

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Approximationssaetze für holomorphe Funktionen mit Werten in komplexen Räumen

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Holomorphe Funktionen mit Werten in komplexen Lieschen Gruppen

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Analytische Faserungen über holomorph-vollständigen Räumen

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On Levi's problem and the imbedding of real-analytic manifolds

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Theory of Stein spaces. Transl. from the German by Alan Huckleberry

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Holomorphic Maps into Complex Projective Space Omitting Hyperplanes

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Oka's Principle for Holomorphic Sections of Elliptic Bundles

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Oka properties of some hypersurface complements

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Holomorphic flexibility properties of the space of cubic rational maps

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The Oka-Grauert principle without induction over the base dimension

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\(L^ 2\) estimates and existence theorems for the \(\partial\)-operator

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Holomorphic factorization of mappings into \(\mathrm{SL}_n(\mathbb{C})\)

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Intermediate Model Structures for Simplicial Presheaves

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On the present state of the Andersen-Lempert theory

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Meromorphic mappings onto compact complex spaces of general type

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EXCISION FOR SIMPLICIAL SHEAVES ON THE STEIN SITE AND GROMOV'S OKA PRINCIPLE

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Model structures and the Oka principle

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Mapping cylinders and the Oka principle

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Affine simplices in Oka manifolds

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Applications of a parametric Oka principle for liftings

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Deformations of Oka manifolds

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Proper holomorphic immersions in homotopy classes of maps from finitely connected planar domains into CxC*

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Embedding certain infinitely connected subsets of bordered Riemann surfaces properly into \(\mathbb C^{2}\)

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Imbedding of Holomorphically Complete Complex Spaces

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The Levi problem for complex spaces. II

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Homotopical algebra

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Uniform estimates for the \(\bar\partial\)-equation on domains with piecewise smooth strictly pseudoconvex boundaries

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A strong Oka principle for embeddings of some planar domains into \(\mathbb C\times\mathbb C^\ast\)

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Acyclic embeddings of open Riemann surfaces into new examples of elliptic manifolds

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Holomorphic Maps from C n to C n

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Embeddings of Stein spaces into affine spaces of minimal dimension

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Every Stein subvariety admits a Stein neighborhood

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Hyperbolicity of generic high-degree hypersurfaces in complex projective space

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Hyperbolicity of the complement of a generic smooth curve of high degree in the complex projective plane

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Reductive group actions on Stein spaces

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Analytische Funktionen mehrerer komplexer Veränderlichen zu vorgegebenen Periodizitätsmoduln und das zweite Cousinsche Problem

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Donaldson theory on non-Kählerian surfaces and class VII surfaces with \(b_2=1\)

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Homotopical algebraic geometry. I: Topos theory

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\(\mathbb{A}^1\)-homotopy theory

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The Oka-principle for mappings between Riemann surfaces

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.5802/AFST.1388

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Sitelinks

Mathematics(1 entry)

mardi Publication:394251

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