Embedding some bordered Riemann surfaces in the affine plane

DOI10.4310/MRL.2002.v9.n5.a10zbMath1030.32013arXivmath/0101058MaRDI QIDQ1812512

Franc Forstnerič, Miran Cerne

Publication date: 12 February 2004

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0101058

zbMATH Keywords

inner functionsholomorphic embeddingbordered Riemann surfaces

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60) Analytic subsets of affine space (32B15)

Related Items (15)

Embedded minimal surfaces in \(\mathbb R^n\) ⋮ 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 Riemann surfaces with arbitrary topology into \({\mathbb C^2}\) ⋮ A construction of complete complex hypersurfaces in the ball with control on the topology ⋮ Families of proper holomorphic embeddings and Carleman-type theorem with parameters ⋮ Embedding subsets of tori properly into \(\mathbb C^2\) ⋮ Embedding certain infinitely connected subsets of bordered Riemann surfaces properly into \(\mathbb C^{2}\) ⋮ Null Holomorphic Curves in $$\mathbb{C}^{3}$$ and Applications to the Conformal Calabi-Yau Problem ⋮ Bordered Riemann surfaces in \(\mathbb C^2\) ⋮ Embedding some Riemann surfaces into \({\mathbb {C}^2}\) with interpolation ⋮ Generalized Ahlfors functions ⋮ EMBEDDING RIEMANN SURFACES PROPERLY INTO ℂ² ⋮ Complete densely embedded complex lines in ℂ² ⋮ Proper holomorphic embeddings of finitely and some infinitely connected subsets of \(\mathbb C\) into \(\mathbb C^2\)

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