Proper holomorphic embeddings of finitely and some infinitely connected subsets of \(\mathbb C\) into \(\mathbb C^2\)

DOI10.1007/s00209-005-0836-3zbMath1086.32015arXivmath/0410188OpenAlexW1610713337MaRDI QIDQ2580975

Erlend Fornæss Wold

Publication date: 10 January 2006

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

Full work available at URL: https://arxiv.org/abs/math/0410188

zbMATH Keywords

proper holomorphic embeddingfinitely or infinitely connected domainRunge Fatou-Bieberbach domain

Mathematics Subject Classification ID

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

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Cites Work

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• Explicit imbedding of the (punctured) disc into \(\mathbb{C}^2\)
• A Carleman type theorem for proper holomorphic embeddings
• Embedding some bordered Riemann surfaces in the affine plane
• Imbedding annuli in C\(^2\)
• Holomorphic embeddings of planar domains in \(\mathbb{C}^ 2\)
• Uniform approximation on smooth curves
• Imbedding of Holomorphically Complete Complex Spaces
• Several Complex Variables and Banach Algebras
• FATOU–BIEBERBACH DOMAINS
• Mappings of Partially Analytic Spaces

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