Elliptic characterization and localization of Oka manifolds

DOI10.1512/iumj.2021.70.8454zbMath1479.32012arXiv1808.06290OpenAlexW3176112139MaRDI QIDQ5153374

Yuta Kusakabe

Publication date: 29 September 2021

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.06290

zbMATH Keywords

Stein manifoldellipticitylocalization principleOka manifold

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Stein manifolds (32Q28) Stein spaces (32E10) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30) Oka principle and Oka manifolds (32Q56)

Related Items (5)

The first thirty years of Andersén-Lempert theory ⋮ Recent developments on Oka manifolds ⋮ Oka properties of complements of holomorphically convex sets ⋮ Oka complements of countable sets and nonelliptic Oka manifolds ⋮ Tame discrete sets in algebraic groups

Cites Work

• A Gromov-Winkelmann type theorem for flexible varieties
• Oka manifolds: from Oka to Stein and back
• Every Stein subvariety admits a Stein neighborhood
• The Oka principle for sections of subelliptic submersions
• On subelliptic manifolds
• Kobayashi hyperbolicity of the complements of general hypersurfaces of high degree
• Density property for hypersurfaces \(UV = p({\overline X})\)
• Holomorphic Flexibility Properties of Compact Complex Surfaces
• Holomorphic Maps from C n to C n
• Partial Differential Relations
• Oka's Principle for Holomorphic Sections of Elliptic Bundles
• Approximation and interpolation of regular maps from affine varieties to algebraic manifolds
• Dense holomorphic curves in spaces of holomorphic maps and applications to universal maps
• Stein Manifolds and Holomorphic Mappings
• Oka properties of some hypersurface complements

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