Gromov's Oka principle for equivariant maps

DOI10.1007/s12220-020-00520-0zbMath1486.32007arXiv1912.07129OpenAlexW3087925515MaRDI QIDQ2048290

Gerald W. Schwarz, Finnur Lárusson, Frank Kutzschebauch

Publication date: 5 August 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.07129

zbMATH Keywords

Stein manifoldequivariant mapreductive groupcomplex Lie groupOka manifoldelliptic manifoldRunge approximationCartan extension

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Group actions on varieties or schemes (quotients) (14L30) Complex Lie groups, group actions on complex spaces (32M05) Stein manifolds (32Q28) Stein spaces (32E10) Homogeneous complex manifolds (32M10) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30)

Related Items (3)

Recent developments on Oka manifolds ⋮ Minimal surfaces with symmetries ⋮ Equivariant Oka theory: survey of recent progress

Cites Work

• Unnamed Item
• Unnamed Item
• Survey of Oka theory
• An equivariant parametric Oka principle for bundles of homogeneous spaces
• On G-ANR's and their G-homotopy types
• A note on coherent G-sheaves
• A generalization of the Chevalley restriction theorem
• Adherences d'orbite et invariants
• Every Stein subvariety admits a Stein neighborhood
• Actions of compact groups on coherent sheaves
• Invariant plurisubharmonic exhaustions and retractions
• Linear äquivariante Einbettungen Steinscher Räume. (Linearly equivariant imbeddings of Stein spaces)
• Reductive group actions on Stein spaces
• An equivariant version of Grauert's Oka principle
• Density property for hypersurfaces \(UV = p({\overline X})\)
• Reelle Transformationsgruppen und invariante Metriken auf komplexen Räumen
• Compact groups of differentiable transformations
• Oka's Principle for Holomorphic Sections of Elliptic Bundles
• The Oka principle for multivalued sections of ramified mappings
• Stein Manifolds and Holomorphic Mappings
• Homotopy principles for equivariant isomorphisms
• Mapping cylinders and the Oka principle

This page was built for publication: Gromov's Oka principle for equivariant maps