An implicit function theorem for sprays and applications to Oka theory

DOI10.1142/S0129167X20500718zbMath1453.32013arXiv2004.12397OpenAlexW3026828958MaRDI QIDQ5130966

Yuta Kusakabe

Publication date: 31 October 2020

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.12397

zbMATH Keywords

blowupellipticityStein spaceOka manifolddominating spray

Mathematics Subject Classification ID

Modifications; resolution of singularities (complex-analytic aspects) (32S45) Complex Lie groups, group actions on complex spaces (32M05) Stein spaces (32E10) Oka principle and Oka manifolds (32Q56)

Related Items (5)

Rational approximation of holomorphic maps ⋮ Recent developments on Oka manifolds ⋮ Elliptic characterization and unification of Oka maps ⋮ Thom's jet transversality theorem for regular maps ⋮ Equivariant Oka theory: survey of recent progress

Cites Work

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• Oka manifolds: from Oka to Stein and back
• An Oka principle for equivariant isomorphisms
• Algebraic subellipticity and dominability of blow-ups of affine spaces
• Every Stein subvariety admits a Stein neighborhood
• On subelliptic manifolds
• Extending holomorphic maps from Stein manifolds into affine toric varieties
• Oka's Principle for Holomorphic Sections of Elliptic Bundles
• Oka complements of countable sets and nonelliptic Oka manifolds
• Approximation and interpolation of regular maps from affine varieties to algebraic manifolds
• Stein Manifolds and Holomorphic Mappings
• Mapping cylinders and the Oka principle

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