Proper Holomorphic Embeddings of Riemann Surfaces with Arbitrary Topology into C2

被引：18

作者：

Alarcon, Antonio ^{[1
]}

Lopez, Francisco J. ^{[1
]}

机构：

[1] Univ Granada, Dept Geometria & Topol, E-18071 Granada, Spain

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2013年 / 23卷 / 04期

关键词：

Riemann surfaces; Holomorphic embeddings;

D O I：

10.1007/s12220-012-9306-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that given an open Riemann surface of arbitrary (finite or infinite) topology, there exists an open domain M subset of N homeomorphic to N which properly holomorphically embeds in C-2. Furthermore, M can be chosen with hyperbolic conformal type. In particular, any open orientable surface M admits a complex structure C such that (M, C) can be properly holomorphically embedded into C-2.

引用

页码：1794 / 1805

页数：12

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