EMBEDDING RIEMANN SURFACES PROPERLY INTO ℂ2
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Publication:3421613
DOI10.1142/S0129167X06003746zbMath1109.32013arXivmath/0602442MaRDI QIDQ3421613
Publication date: 7 February 2007
Published in: International Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0602442
proper holomorphic embeddingsholomorphic mappingsbordered Riemann surfacesFatou-Bie\-ber\-bach domainsRunge surface
Related Items (16)
A soft Oka principle for proper holomorphic embeddings of open Riemann surfaces into \((\mathbb{C}^\ast)^2\) ⋮ On the Density and the Volume Density Property ⋮ An interpolation theorem for proper holomorphic embeddings ⋮ The first thirty years of Andersén-Lempert theory ⋮ Proper holomorphic embeddings of finitely connected planar domains into \(\mathbb C^n\) ⋮ Proper holomorphic embeddings of Riemann surfaces with arbitrary topology into \({\mathbb C^2}\) ⋮ Flexibility Properties in Complex Analysis and Affine Algebraic Geometry ⋮ Families of proper holomorphic embeddings and Carleman-type theorem with parameters ⋮ 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 subsets of tori properly into \(\mathbb C^2\) ⋮ Embedding certain infinitely connected subsets of bordered Riemann surfaces properly into \(\mathbb C^{2}\) ⋮ Holomorphic curves in complex spaces ⋮ Bordered Riemann surfaces in \(\mathbb C^2\) ⋮ Embedding some Riemann surfaces into \({\mathbb {C}^2}\) with interpolation ⋮ A Fatou-Bieberbach domain intersecting the plane in the unit disk
Cites Work
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- On Fatou-Bieberbach domains
- Fatou-Bieberbach domains with \(C^ \infty\)-smooth boundary
- Embedding some bordered Riemann surfaces in the affine plane
- Uniform approximation on smooth curves
- Proper holomorphic embeddings of finitely and some infinitely connected subsets of \(\mathbb C\) into \(\mathbb C^2\)
- FATOU–BIEBERBACH DOMAINS
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