Complete bounded embedded complex curves in \(\mathbb {C}^2\)

DOI10.4171/JEMS/625zbMath1350.32016arXiv1305.2118OpenAlexW2467731656WikidataQ125339556 ScholiaQ125339556MaRDI QIDQ738793

Antonio Alarcón, Francisco J. López

Publication date: 16 August 2016

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.2118

zbMATH Keywords

Riemann surfacesconvex domaincomplex curvescomplete holomorphic embeddings

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Embedding of analytic spaces (32C22) Analytic subsets of affine space (32B15)

Related Items (13)

Every bordered Riemann surface is a complete conformal minimal surface bounded by Jordan curves: Figure. 5.1. ⋮ The first thirty years of Andersén-Lempert theory ⋮ Complete complex hypersurfaces in the ball come in foliations ⋮ A construction of complete complex hypersurfaces in the ball with control on the topology ⋮ A foliation of the ball by complete holomorphic discs ⋮ Holomorphic Legendrian curves ⋮ NEW COMPLEX ANALYTIC METHODS IN THE THEORY OF MINIMAL SURFACES: A SURVEY ⋮ Null Holomorphic Curves in $$\mathbb{C}^{3}$$ and Applications to the Conformal Calabi-Yau Problem ⋮ The Calabi-Yau problem for Riemann surfaces with finite genus and countably many ends ⋮ Embedding complete holomorphic discs through discrete sets ⋮ Holomorphic Legendrian curves in \(\mathbb{CP}^3\) and superminimal surfaces in \(\mathbb{S}^4\) ⋮ Complete densely embedded complex lines in ℂ² ⋮ Holomorphic functions unbounded on curves of finite length

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