Holomorphic families of nonequivalent embeddings and of holomorphic group actions on affine space
DOI10.1215/00127094-1958969zbMath1266.32029arXiv1011.3248OpenAlexW2061561454MaRDI QIDQ1937189
Sam Lodin, Frank Kutzschebauch
Publication date: 28 February 2013
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1011.3248
Fatou-Bieberbach domainholomorphic automorphismAndersén-Lempert theoryproper holomorphic embeddingEisenman hyperbolic spaceOka-Grauert-Gromov homotopy theory
Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Complex Lie groups, group actions on complex spaces (32M05) Stein manifolds (32Q28) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Embedding theorems for complex manifolds (32Q40)
Related Items (6)
Cites Work
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- The Oka principle for sections of stratified fiber bundles
- Approximation of biholomorphic mappings by automorphisms of \(\mathbb{C}^ n\)
- Holomorphic factorization of mappings into \(\mathrm{SL}_n(\mathbb{C})\)
- Approximationssaetze für holomorphe Funktionen mit Werten in komplexen Räumen
- Holomorphe Funktionen mit Werten in komplexen Lieschen Gruppen
- Analytische Faserungen über holomorph-vollständigen Räumen
- Embeddings of Stein manifolds of dimension \(n\) into the affine space of dimension \(3n/2+1\)
- On the group of holomorphic automorphisms of \(\mathbb{C}{}^ n\)
- Exotic analytic structures and Eisenman intrinsic measures
- Embeddings of Stein spaces into affine spaces of minimal dimension
- Nonlinearizable holomorphic group actions
- Propriétés topologiques des polynômes de deux variables complexes et automorphismes algébriques de l'espace \(C^2\)
- Interpolation of embeddings of Stein manifolds on discrete sets
- Embeddings of Danielewski surfaces
- Interpolation by holomorphic automorphisms and embeddings in \({\mathbb{C}}^n\)
- Oka's principle for holomorphic submersions with sprays
- Non-linearizable algebraic \(k^*\)-actions on affine spaces
- Interpolation by proper holomorphic embeddings of the disc into \(\mathbb{C}^2\)
- An equivariant version of Grauert's Oka principle
- Non straightenable complex lines in \(\mathbb C^2\)
- On the embedding dimension of an affine variety
- Some results on embedding Stein spaces with interpolation
- An interpolation theorem for proper holomorphic embeddings
- A solution of Gromov's Vaserstein problem
- Criteria for the density property of complex manifolds
- Analytische Modulgarben und Endromisbündel
- Plongements des variétés de Stein
- An embedding of \(\mathbb C\) in \(\mathbb C^2\) with hyperbolic complement
- Locally compact groups of differentiable transformations
- ANDERSÉN–LEMPERT-THEORY WITH PARAMETERS: A REPRESENTATION THEORETIC POINT OF VIEW
- NON-EQUIVALENT EMBEDDINGS INTO COMPLEX EUCLIDEAN SPACES
- Volume-preserving automorphisms of C⊃n⊃
- Holomorphic Maps from C n to C n
- Some Remarks on the Intrinsic Measures of Eisenman
- Extensions of Isomorphisms between Affine Algebraic Subvarieties of k n Automorphisms of k n
- Sur les opérations holomorphes du groupe additif complexe sur l'espace de deux variables complexes
- Oka's Principle for Holomorphic Sections of Elliptic Bundles
- Intrinsic measures on complex manifolds and holomorphic mappings
- FATOU–BIEBERBACH DOMAINS
- The density property for complex manifolds and geometric structures
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