Complete bounded embedded complex curves in C2

被引：11

作者：

Alarcon, Antonio ^{[1
,2
]}

Lopez, Francisco J. ^{[1
,2
]}

机构：

[1] Univ Granada, Dept Geometria & Topol, Campus Fuentenueva S-N, E-18071 Granada, Spain

[2] Univ Granada, Inst Matemat IEMath GR, Campus Fuentenueva S-N, E-18071 Granada, Spain

来源：

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | 2016年 / 18卷 / 08期

关键词：

Riemann surfaces; complex curves; complete holomorphic embeddings; COMPLETE MINIMAL-SURFACES; HOLOMORPHIC EMBEDDINGS; CONJECTURES; DISCS;

D O I：

10.4171/JEMS/625

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that any convex domain of C-2 carries properly embedded complete complex curves. In particular, we give the first examples of complete bounded embedded complex curves in C-2.

引用

页码：1675 / 1705

页数：31

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