Embedding some Riemann surfaces into \({\mathbb {C}^2}\) with interpolation

DOI10.1007/s00209-008-0392-8zbMath1168.32010arXivmath/0702051OpenAlexW2037468818MaRDI QIDQ1022330

Frank Kutzschebauch, Erlend Fornæss Wold, Erik Løw

Publication date: 22 June 2009

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

Full work available at URL: https://arxiv.org/abs/math/0702051

zbMATH Keywords

interpolationRiemann surfacesholomorphic embeddings

Mathematics Subject Classification ID

Embedding of analytic spaces (32C22) Stein spaces (32E10) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Riemann surfaces (30F99)

Related Items (7)

A soft Oka principle for proper holomorphic embeddings of open Riemann surfaces into \((\mathbb{C}^\ast)^2\) ⋮ The first thirty years of Andersén-Lempert theory ⋮ Proper holomorphic embeddings of finitely connected planar domains into \(\mathbb C^n\) ⋮ A strong Oka principle for embeddings of some planar domains into \(\mathbb C\times\mathbb C^\ast\) ⋮ Embedding Riemann surfaces with isolated punctures into the complex plane ⋮ Embedding certain infinitely connected subsets of bordered Riemann surfaces properly into \(\mathbb C^{2}\) ⋮ Bordered Riemann surfaces in \(\mathbb C^2\)

Cites Work

• Embeddings of Stein manifolds of dimension \(n\) into the affine space of dimension \(3n/2+1\)
• Ahlfors functions on non-planar Riemann surfaces whose double are hyperelliptic
• Embeddings of Stein spaces into affine spaces of minimal dimension
• Oka's principle for holomorphic submersions with sprays
• Embedding some bordered Riemann surfaces in the affine plane
• Interpolation by proper holomorphic embeddings of the disc into \(\mathbb{C}^2\)
• Some results on embedding Stein spaces with interpolation
• An interpolation theorem for proper holomorphic embeddings
• Embedding subsets of tori properly into \(\mathbb C^2\)
• Uniform approximation on smooth curves
• Proper holomorphic embeddings of finitely and some infinitely connected subsets of \(\mathbb C\) into \(\mathbb C^2\)
• EMBEDDING RIEMANN SURFACES PROPERLY INTO ℂ²
• Oka's Principle for Holomorphic Sections of Elliptic Bundles
• Pairs of Inner Functions on Finite Riemann Surfaces

This page was built for publication: Embedding some Riemann surfaces into \({\mathbb {C}^2}\) with interpolation