Entire curves avoiding given sets in \(\mathbb{C}^n\)

DOI10.1007/BF02385483zbMath1051.32011arXivmath/0312051OpenAlexW2074063930MaRDI QIDQ1880457

Nikolai Nikolov, Peter Pflug

Publication date: 28 September 2004

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

Full work available at URL: https://arxiv.org/abs/math/0312051

zbMATH Keywords

Lempert functionholomorphic immersioncomplex hyperplanesKobayashi pseudometricproper holomorphic embeddingpolynomially convex compact setArakelian's approximation theorem

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Proper holomorphic mappings, finiteness theorems (32H35)

Cites Work

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• Approximation of biholomorphic mappings by automorphisms of \(\mathbb{C}^ n\)
• Local structure of analytic transformations of two complex variables. I
• Proper holomorphic discs avoiding closed convex sets
• Non straightenable complex lines in \(\mathbb C^2\)
• Arakelian's Approximation Theorem
• Approximation by Meromorphic Functions with Mittag-Leffler Type Constraints
• Concave domains with trivial biholomorphic invariants
• The density property for complex manifolds and geometric structures

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