A soft Oka principle for proper holomorphic embeddings of open Riemann surfaces into \((\mathbb{C}^\ast)^2\)
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Publication:1628519
DOI10.1515/crelle-2015-0116zbMath1407.32005arXiv1403.6630OpenAlexW2963439488MaRDI QIDQ1628519
Publication date: 4 December 2018
Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1403.6630
Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Homogeneous complex manifolds (32M10)
Related Items (2)
Complex curves in pseudoconvex Runge domains containing discrete subsets ⋮ Mergelyan approximation theorem for holomorphic Legendrian curves
Cites Work
- Unnamed Item
- Proper holomorphic embeddings of Riemann surfaces with arbitrary topology into \({\mathbb C^2}\)
- Oka manifolds: from Oka to Stein and back
- Survey of Oka theory
- Approximation of biholomorphic mappings by automorphisms of \(\mathbb{C}^ n\)
- Bordered Riemann surfaces in \(\mathbb C^2\)
- Embedding some Riemann surfaces into \({\mathbb {C}^2}\) with interpolation
- On the group of holomorphic automorphisms of \(\mathbb{C}{}^ n\)
- Erratum: ``Approximation of biholomorphic mappings by automorphisms of \(\mathbb{C}^ n\)
- Embedding some bordered Riemann surfaces in the affine plane
- Holomorphic embeddings of planar domains in \(\mathbb{C}^ 2\)
- A strong Oka principle for embeddings of some planar domains into \(\mathbb C\times\mathbb C^\ast\)
- Deformations of Stein structures and extensions of holomorphic mappings
- Stein structures and holomorphic mappings
- Proper holomorphic embeddings of finitely and some infinitely connected subsets of \(\mathbb C\) into \(\mathbb C^2\)
- Stein Manifolds and Holomorphic Mappings
- EMBEDDING RIEMANN SURFACES PROPERLY INTO ℂ2
- Volume-preserving automorphisms of C⊃n⊃
- Morse Theory. (AM-51)
- Oka's Principle for Holomorphic Sections of Elliptic Bundles
- THE DENSITY PROPERTY FOR COMPLEX MANIFOLDS AND GEOMETRIC STRUCTURES II
- Proper holomorphic immersions in homotopy classes of maps from finitely connected planar domains into CxC*
- The density property for complex manifolds and geometric structures
- Solving the \(d\)- and \(\overline\partial\)-equations in thin tubes and applications to mappings
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