Non straightenable complex lines in \(\mathbb C^2\)

DOI10.1007/BF02559509zbMath0853.58015MaRDI QIDQ1916306

Franc Forstnerič, Josip Globevnik, Jean-Pierre Rosay

Publication date: 5 January 1997

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

polynomial automorphismholomorphic embeddingpolynomial embedding

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Holomorphic maps on manifolds (58C10) Proper holomorphic mappings, finiteness theorems (32H35)

Related Items (21)

Entire curves avoiding given sets in \(\mathbb{C}^n\) ⋮ Some results on embedding Stein spaces with interpolation ⋮ On the Density and the Volume Density Property ⋮ An interpolation theorem for proper holomorphic embeddings ⋮ The first thirty years of Andersén-Lempert theory ⋮ A Carleman type theorem for proper holomorphic embeddings ⋮ Complex curves in pseudoconvex Runge domains containing discrete subsets ⋮ Analytic extensions of algebraic isomorphisms ⋮ The epimorphism theorem and its generalizations ⋮ Holomorphic families of nonequivalent embeddings and of holomorphic group actions on affine space ⋮ Linearization of holomorphic families of algebraic automorphisms of the affine plane ⋮ Density property for hypersurfaces \(UV = p({\overline X})\) ⋮ Embeddings through discrete sets of balls ⋮ ANDERSÉN–LEMPERT-THEORY WITH PARAMETERS: A REPRESENTATION THEORETIC POINT OF VIEW ⋮ Fat point embeddings in affine space ⋮ The density property for complex manifolds and geometric structures ⋮ The ball embedding property of the open unit disc ⋮ Surfaces with big automorphism groups ⋮ NON-EQUIVALENT EMBEDDINGS INTO COMPLEX EUCLIDEAN SPACES ⋮ Interpolation by holomorphic automorphisms and embeddings in \({\mathbb{C}}^n\) ⋮ Holomorphically embedded discs with rapidly growing area

Cites Work

• Unnamed Item
• Approximation of biholomorphic mappings by automorphisms of \(\mathbb{C}^ n\)
• The extension of regular and rational embeddings
• On the group of holomorphic automorphisms of \(\mathbb{C}{}^ n\)
• Propriétés topologiques des polynômes de deux variables complexes et automorphismes algébriques de l'espace \(C^2\)
• Holomorphic embeddings of planar domains in \(\mathbb{C}^ 2\)
• L'image d'une application holomorphe

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