A Carleman type theorem for proper holomorphic embeddings
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Publication:1359483
DOI10.1007/BF02559596zbMath0886.32014arXivmath/9604221MaRDI QIDQ1359483
Gregery T. Buzzard, Franc Forstnerič
Publication date: 6 July 1997
Published in: Arkiv för Matematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9604221
Approximation in the complex plane (30E10) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30)
Related Items (9)
Some results on embedding Stein spaces with interpolation ⋮ An interpolation theorem for proper holomorphic embeddings ⋮ The first thirty years of Andersén-Lempert theory ⋮ Proper holomorphic embeddings of finitely connected planar domains into \(\mathbb C^n\) ⋮ Carleman approximation by holomorphic automorphisms of \(\mathbb{C}^n\) ⋮ Embedding certain infinitely connected subsets of bordered Riemann surfaces properly into \(\mathbb C^{2}\) ⋮ Bordered Riemann surfaces in \(\mathbb C^2\) ⋮ Polynomial convexity and totally real manifolds ⋮ Proper holomorphic embeddings of finitely and some infinitely connected subsets of \(\mathbb C\) into \(\mathbb C^2\)
Cites Work
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- Embeddings of Stein manifolds of dimension \(n\) into the affine space of dimension \(3n/2+1\)
- Approximation by automorphisms on smooth submanifolds of \(\mathbb{C}^ n\)
- Propriétés topologiques des polynômes de deux variables complexes et automorphismes algébriques de l'espace \(C^2\)
- Non straightenable complex lines in \(\mathbb C^2\)
- Embedding holomorphic discs through discrete sets
- An embedding of \(\mathbb C\) in \(\mathbb C^2\) with hyperbolic complement
- Arakelian's Approximation Theorem
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