Embedded complex curves in the affine plane
DOI10.1007/S10231-023-01418-8WikidataQ129266956 ScholiaQ129266956MaRDI QIDQ6594150
Franc Forstnerič, Antonio Alarcón
Publication date: 28 August 2024
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Stein spaces (32E10) Riemann surfaces; Weierstrass points; gap sequences (14H55) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30)
Cites Work
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- Embeddings of infinitely connected planar domains into \(\mathbb C^2\)
- Proper holomorphic embeddings of Riemann surfaces with arbitrary topology into \({\mathbb C^2}\)
- The hull of a curve in \(\mathbb C^n\)
- Polynomial convexity and Rossi's local maximum principle
- Holomorphic curves in complex spaces
- Bordered Riemann surfaces in \(\mathbb C^2\)
- Embedding some Riemann surfaces into \({\mathbb {C}^2}\) with interpolation
- Curvatures of complex submanifolds of \(C^n\)
- Erratum: ``Approximation of biholomorphic mappings by automorphisms of \(\mathbb{C}^ n\)
- A Carleman type theorem for proper holomorphic embeddings
- A soft Oka principle for proper holomorphic embeddings of open Riemann surfaces into \((\mathbb{C}^\ast)^2\)
- Non-degenerate maps and sets
- Interpolation by proper holomorphic embeddings of the disc into \(\mathbb{C}^2\)
- Holomorphic embeddings of planar domains in \(\mathbb{C}^ 2\)
- Embedding holomorphic discs through discrete sets
- A strong Oka principle for embeddings of some planar domains into \(\mathbb C\times\mathbb C^\ast\)
- Proper holomorphic embeddings of complements of large Cantor sets in \(\mathbb{C}^2\)
- Complex curves in pseudoconvex Runge domains containing discrete subsets
- Construction of labyrinths in pseudoconvex domains
- Fixed points, Koebe uniformization and circle packings
- An interpolation theorem for proper holomorphic embeddings
- Holomorphic discs with dense images
- Complete embedded complex curves in the ball of \(\mathbb{C}^2\) can have any topology
- Uniform approximation on smooth curves
- Plongements des variétés de Stein
- Proper holomorphic embeddings of finitely and some infinitely connected subsets of \(\mathbb C\) into \(\mathbb C^2\)
- Polynomially and rationally convex sets
- Complete densely embedded complex lines in ℂ²
- Holomorphic Approximation: The Legacy of Weierstrass, Runge, Oka–Weil, and Mergelyan
- EMBEDDING RIEMANN SURFACES PROPERLY INTO ℂ2
- Every bordered Riemann surface is a complete conformal minimal surface bounded by Jordan curves: Figure. 5.1.
- Proper analytic embedding of $ \mathbb{CP}^1$ minus a Cantor set into $ \mathbb C^2$
- Global holomorphic equivalence of smooth submanifolds in C^n
- Minimal surfaces in minimally convex domains
- Proper holomorphic immersions in homotopy classes of maps from finitely connected planar domains into CxC*
- Stein Manifolds and Holomorphic Mappings
- Bounded Holomorphic Functions on Finite Riemann Surfaces
- Polynomial Approximation and Hulls in Sets in Finite Linear Measure in C n
- Minimal Surfaces from a Complex Analytic Viewpoint
- Proper holomorphic discs in \(\mathbb{C}^2\)
- The Calabi-Yau problem for minimal surfaces with Cantor ends
- Complete meromorphic curves with Jordan boundaries
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