Bordered Riemann surfaces in \(\mathbb C^2\)
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Publication:998973
DOI10.1016/j.matpur.2008.09.010zbMath1157.32010arXiv0708.2887OpenAlexW2113204510MaRDI QIDQ998973
Franc Forstnerič, Erlend Fornæss Wold
Publication date: 30 January 2009
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0708.2887
Embedding of analytic spaces (32C22) Stein spaces (32E10) Riemann surfaces; Weierstrass points; gap sequences (14H55) Automorphism groups of (mathbb{C}^n) and affine manifolds (32M17) Proper holomorphic mappings, finiteness theorems (32H35)
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Cites Work
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- Embedding some Riemann surfaces into \({\mathbb {C}^2}\) with interpolation
- The equivalence of two definitions of quasiconformal mappings
- Embeddings of Stein manifolds of dimension \(n\) into the affine space of dimension \(3n/2+1\)
- On the group of holomorphic automorphisms of \(\mathbb{C}{}^ n\)
- Every Stein subvariety admits a Stein neighborhood
- Explicit imbedding of the (punctured) disc into \(\mathbb{C}^2\)
- Ahlfors functions on non-planar Riemann surfaces whose double are hyperelliptic
- Erratum: ``Approximation of biholomorphic mappings by automorphisms of \(\mathbb{C}^ n\)
- A Carleman type theorem for proper holomorphic embeddings
- Embeddings of Stein spaces into affine spaces of minimal dimension
- Interpolation by holomorphic automorphisms and embeddings in \({\mathbb{C}}^n\)
- On holomorphic embedding of planar domains into \(\mathbb{C}^2\)
- Holomorphic submersions from Stein manifolds.
- Embedding some bordered Riemann surfaces in the affine plane
- Imbedding annuli in C\(^2\)
- Interpolation by proper holomorphic embeddings of the disc into \(\mathbb{C}^2\)
- Noncritical holomorphic functions on Stein manifolds.
- Holomorphic embeddings of planar domains in \(\mathbb{C}^ 2\)
- Fixed points, Koebe uniformization and circle packings
- Embedding subsets of tori properly into \(\mathbb C^2\)
- Uniform approximation on smooth curves
- Some remarks on Teichmüller's space of Riemann surfaces
- Proper holomorphic embeddings of finitely and some infinitely connected subsets of \(\mathbb C\) into \(\mathbb C^2\)
- On quasiconformal mappings
- Simultaneous uniformization
- Imbedding of Holomorphically Complete Complex Spaces
- Spaces of Riemann surfaces as bounded domains
- EMBEDDING RIEMANN SURFACES PROPERLY INTO ℂ2
- Koebe Uniformization for "Almost Circle Domains"
- Pairs of Inner Functions on Finite Riemann Surfaces
- Uniform Approximation on Compact Sets in $\mathsf{C}^n$.
- Mappings of Partially Analytic Spaces