ANDERSÉN–LEMPERT-THEORY WITH PARAMETERS: A REPRESENTATION THEORETIC POINT OF VIEW

DOI10.1142/S0219498805001216zbMath1077.32010OpenAlexW2053541470MaRDI QIDQ3025349

Frank Kutzschebauch

Publication date: 13 July 2005

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498805001216

zbMATH Keywords

invariant subspacesactionsalgebraic automorphismsalgebraic vector fieldsAndersén-Lempert theorem

Mathematics Subject Classification ID

Complex Lie groups, group actions on complex spaces (32M05) Automorphism groups of (mathbb{C}^n) and affine manifolds (32M17) Complex vector fields, holomorphic foliations, (mathbb{C})-actions (32M25)

Related Items (6)

The first thirty years of Andersén-Lempert theory ⋮ An Oka principle for a parametric infinite transitivity property ⋮ Families of proper holomorphic embeddings and Carleman-type theorem with parameters ⋮ Holomorphic families of nonequivalent embeddings and of holomorphic group actions on affine space ⋮ Exposing points on the boundary of a strictly pseudoconvex or a locally convexifiable domain of finite 1-type ⋮ The fibred density property and the automorphism group of the spectral ball

Cites Work

• On the group of holomorphic automorphisms of \(\mathbb{C}{}^ n\)
• Nonlinearizable holomorphic group actions
• Interpolation by holomorphic automorphisms and embeddings in \({\mathbb{C}}^n\)
• Noncritical holomorphic functions on Stein manifolds.
• Non straightenable complex lines in \(\mathbb C^2\)
• An embedding of \(\mathbb C\) in \(\mathbb C^2\) with hyperbolic complement
• Volume-preserving automorphisms of C⊃n⊃
• On ${\mathbf{R}}^{+}$ and ${\mathbf{C}}$ complete holomorphic vector fields
• The density property for complex manifolds and geometric structures

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