Bordered Riemann surfaces in C2

被引：43

作者：

Forstneric, Franc ^{[1
,2
]}

Wold, Erlend Fornaess ^{[3
]}

机构：

[1] Univ Ljubljana, Fac Math, Ljubljana 1000, Slovenia

[2] Inst Math Phys & Mech, Ljubljana 1000, Slovenia

[3] Univ Oslo, Math Inst, N-0316 Oslo, Norway

来源：

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2009年 / 91卷 / 01期

关键词：

Riemann surfaces; Complex curves; Holomorphic embeddings; PROPER HOLOMORPHIC EMBEDDINGS; STEIN MANIFOLDS; UNIFORM APPROXIMATION; KOEBE UNIFORMIZATION; PLANAR DOMAINS; SPACES; DIMENSION; SUBSETS;

D O I：

10.1016/j.matpur.2008.09.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that the interior of any compact complex curve with smooth boundary in C-2 admits a proper holomorphic embedding into C-2. In particular, if D is a bordered Riemann surface whose closure admits a holomorphic embedding into C-2, then D admits a proper holomorphic embedding into C-2. (c) 2008 Elsevier Masson SAS. All rights reserved.

引用

页码：100 / 114

页数：15

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