NON-EQUIVALENT EMBEDDINGS INTO COMPLEX EUCLIDEAN SPACES

DOI10.1142/S0129167X06003795zbMath1122.32009OpenAlexW2013760971MaRDI QIDQ3421584

Frank Kutzschebauch, Stefan Borell

Publication date: 7 February 2007

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

Full work available at URL: https://doi.org/10.1142/s0129167x06003795

zbMATH Keywords

proper holomorphic embeddingsequivalent embeddingscomplex Euclidean spacesEisenman hyperbolicity

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Stein manifolds (32Q28) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Proper holomorphic mappings, finiteness theorems (32H35) Embedding theorems for complex manifolds (32Q40) Complex spaces with a group of automorphisms (32M99)

Related Items (9)

On the Density and the Volume Density Property ⋮ The first thirty years of Andersén-Lempert theory ⋮ Algebraic density property of Danilov-Gizatullin surfaces ⋮ Holomorphic families of nonequivalent embeddings and of holomorphic group actions on affine space ⋮ Density property for hypersurfaces \(UV = p({\overline X})\) ⋮ Embeddings through discrete sets of balls ⋮ Runge tubes in Stein manifolds with the density property ⋮ The ball embedding property of the open unit disc ⋮ Non-algebraic examples of manifolds with the volume density property

Cites Work

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• Embeddings of Stein manifolds of dimension \(n\) into the affine space of dimension \(3n/2+1\)
• Interpolation of embeddings of Stein manifolds on discrete sets
• Interpolation by holomorphic automorphisms and embeddings in \({\mathbb{C}}^n\)
• Oka's principle for holomorphic submersions with sprays
• Interpolation by proper holomorphic embeddings of the disc into \(\mathbb{C}^2\)
• Non straightenable complex lines in \(\mathbb C^2\)
• Some results on embedding Stein spaces with interpolation
• Plongements des variétés de Stein
• An embedding of \(\mathbb C\) in \(\mathbb C^2\) with hyperbolic complement
• Locally compact groups of differentiable transformations

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