Oka properties of complements of holomorphically convex sets (Q6195364)

scientific article; zbMATH DE number 7817081

Language	Label	Description	Also known as
English	Oka properties of complements of holomorphically convex sets	scientific article; zbMATH DE number 7817081

Statements

instance of

scholarly article

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title

Oka properties of complements of holomorphically convex sets (English)

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author

Yuta Kusakabe

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published in

Annals of Mathematics. Second Series

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publication date

13 March 2024

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full work available at URL

https://arxiv.org/abs/2005.08247

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zbMATH Keywords

Oka manifold

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holomorphic convexity

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density property

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ellipticity

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MaRDI profile type

MaRDI publication profile

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cites work

On the group of holomorphic automorphisms of \(\mathbb{C}{}^ n\)

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The fibred density property and the automorphism group of the spectral ball

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Q3993490

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Q3714374

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

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A Gromov-Winkelmann type theorem for flexible varieties

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Non-autonomous basins with uniform bounds are elliptic

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Q4442696

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Runge approximation on convex sets implies the Oka property

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Oka manifolds

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Oka manifolds: from Oka to Stein and back

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Stein Manifolds and Holomorphic Mappings

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Surjective holomorphic maps onto Oka manifolds

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Proper holomorphic immersions into Stein manifolds with the density property

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The first thirty years of Andersén-Lempert theory

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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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Fatou-Bieberbach domains in \(\mathbb C^n\setminus\mathbb R^k\)

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Holomorphic families of Fatou-Bieberbach domains and applications to Oka manifolds

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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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Approximation von holomorphen Schnittflächen in Faserbündeln mit homogener Faser

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Partial Differential Relations

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

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Oka complements of countable sets and nonelliptic Oka manifolds

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Elliptic characterization and localization of Oka manifolds

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Elliptic characterization and unification of Oka maps

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Thom's jet transversality theorem for regular maps

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An Oka principle for a parametric infinite transitivity property

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Carleman approximation by holomorphic automorphisms of \(\mathbb{C}^n\)

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Q5772336

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Parametric jet interpolation for Stein manifolds with the density property

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Stetige und holomorphe Schnitte in Bündeln mit homogener Faser

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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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Polynomial convexity

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The density property for complex manifolds and geometric structures

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Tame discrete sets in algebraic groups

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FATOU–BIEBERBACH DOMAINS

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Identifiers

arXiv ID

2005.08247

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Mathematics Subject Classification ID

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10.4007/ANNALS.2024.199.2.7

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Sitelinks

Mathematics(1 entry)

mardi Publication:6195364