An embedding of \(\mathbb C\) in \(\mathbb C^2\) with hyperbolic complement

DOI10.1007/BF01445264zbMath0864.32013OpenAlexW2914753004MaRDI QIDQ2563413

Gregery T. Buzzard, John-Erik Fornaess

Publication date: 12 December 1996

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01445264

zbMATH Keywords

embeddingFatou-Bieberbach domainsKobayashi hyperbolicproper holomorphic embedding

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45)

Related Items (15)

On the Density and the Volume Density Property ⋮ The first thirty years of Andersén-Lempert theory ⋮ A Carleman type theorem for proper holomorphic embeddings ⋮ Unnamed Item ⋮ Holomorphic families of nonequivalent embeddings and of holomorphic group actions on affine space ⋮ Exotic holomorphic Engel structures on \(\mathbf {C}^4\) ⋮ On Fatou-Bieberbach domains with multiple leaves ⋮ FATOU–BIEBERBACH DOMAINS ⋮ Embeddings through discrete sets of balls ⋮ ANDERSÉN–LEMPERT-THEORY WITH PARAMETERS: A REPRESENTATION THEORETIC POINT OF VIEW ⋮ The density property for complex manifolds and geometric structures ⋮ Runge tubes in Stein manifolds with the density property ⋮ The ball embedding property of the open unit disc ⋮ NON-EQUIVALENT EMBEDDINGS INTO COMPLEX EUCLIDEAN SPACES ⋮ Interpolation by holomorphic automorphisms and embeddings in \({\mathbb{C}}^n\)

Cites Work

• Unnamed Item
• Unnamed Item
• Approximation of biholomorphic mappings by automorphisms of \(\mathbb{C}^ n\)
• Propriétés topologiques des polynômes de deux variables complexes et automorphismes algébriques de l'espace \(C^2\)
• Holomorphic Maps from C n to C n

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