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
收藏
页码：100 / 114
页数：15
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