naa a22 4500 510810985 CHVBK 20180411083442.0 cr unu---uuuuu 180411e20131001xx s 000 0 eng 10.1007/s12220-012-9306-4 doi (NATIONALLICENCE)springer-10.1007/s12220-012-9306-4 Proper Holomorphic Embeddings of Riemann Surfaces with Arbitrary Topology into ℂ2 [Elektronische Daten] [Antonio Alarcón, Francisco López] We prove that given an open Riemann surface $\mathcal{N}$ of arbitrary (finite or infinite) topology, there exists an open domain $\mathcal{M}\subset \mathcal{N}$ homeomorphic to $\mathcal{N}$ which properly holomorphically embeds in ℂ2. Furthermore, $\mathcal{M}$ can be chosen with hyperbolic conformal type. In particular, any open orientable surface M admits a complex structure $\mathcal{C}$ such that $(M,\mathcal{C})$ can be properly holomorphically embedded into ℂ2. Mathematica Josephina, Inc., 2012 Riemann surfaces nationallicence Holomorphic embeddings nationallicence Alarcón Antonio Departamento de Geometría y Topología, Universidad de Granada, 18071, Granada, Spain aut López Francisco Departamento de Geometría y Topología, Universidad de Granada, 18071, Granada, Spain aut Journal of Geometric Analysis Springer US; http://www.springer-ny.com 23/4(2013-10-01), 1794-1805 1050-6926 23:4<1794 2013 23 12220 https://doi.org/10.1007/s12220-012-9306-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s12220-012-9306-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Alarcón Antonio Departamento de Geometría y Topología, Universidad de Granada, 18071, Granada, Spain aut NATIONALLICENCE 700 1- López Francisco Departamento de Geometría y Topología, Universidad de Granada, 18071, Granada, Spain aut NATIONALLICENCE 773 0- Journal of Geometric Analysis Springer US; http://www.springer-ny.com 23/4(2013-10-01), 1794-1805 1050-6926 23:4<1794 2013 23 12220 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer