Embedding holomorphic discs through discrete sets

DOI10.1007/BF01444237zbMath0859.32010OpenAlexW2042101020MaRDI QIDQ1923246

Franc Forstnerič, Josip Globevnik, Berit Stensones Henriksen

Publication date: 25 November 1996

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

Full work available at URL: https://eudml.org/doc/183003

zbMATH Keywords

proper holomorphic embeddingpseudoconvex Runge domain

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Complex Lie groups, group actions on complex spaces (32M05) Proper holomorphic mappings, finiteness theorems (32H35) Pseudoconvex domains (32T99)

Related Items (10)

THE DENSITY PROPERTY FOR COMPLEX MANIFOLDS AND GEOMETRIC STRUCTURES II ⋮ A Carleman type theorem for proper holomorphic embeddings ⋮ Complex curves in pseudoconvex Runge domains containing discrete subsets ⋮ Holomorphic curves in complex spaces ⋮ Complete bounded embedded complex curves in \(\mathbb {C}^2\) ⋮ Embedding complete holomorphic discs through discrete sets ⋮ On discs in bidiscs ⋮ Interpolation by holomorphic automorphisms and embeddings in \({\mathbb{C}}^n\) ⋮ Complete densely embedded complex lines in ℂ² ⋮ Holomorphically embedded discs with rapidly growing area

Cites Work

• Approximation of biholomorphic mappings by automorphisms of \(\mathbb{C}^ n\)
• On the group of holomorphic automorphisms of \(\mathbb{C}{}^ n\)
• Approximation by automorphisms on smooth submanifolds of \(\mathbb{C}^ n\)
• Relative embeddings of discs into convex domains
• Discs in pseudoconvex domains
• Polynomially and rationally convex sets
• Volume-preserving automorphisms of C⊃n⊃
• Holomorphic Maps from C n to C n
• The Polynomial Hull of a Rectifiable Curve in C n

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