COMPLETE EMBEDDED COMPLEX CURVES IN THE BALL OF C2 CAN HAVE ANY TOPOLOGY

被引：13

作者：

Alarcon, Antonio ^{[1
,2
]}

Globevnik, Josip ^{[3
,4
]}

机构：

[1] Univ Granada, Dept Geometria & Topol, Granada, Spain

[2] Univ Granada, Inst Matemat IEMath GR, Granada, Spain

[3] Univ Ljubljana, Dept Math, Ljubljana, Slovenia

[4] Univ Ljubljana, Inst Math Phys & Mech, Ljubljana, Slovenia

来源：

ANALYSIS & PDE | 2017年 / 10卷 / 08期

关键词：

complex curves; holomorphic embeddings; complete bounded submanifolds; BORDERED RIEMANN SURFACE; HOLOMORPHIC DISCS; DISCRETE SETS; DOMAINS;

D O I：

10.2140/apde.2017.10.1987

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove that the unit ball B of C-2 admits complete properly embedded complex curves of any given topological type. Moreover, we provide examples containing any given closed discrete subset of B

引用

页码：1987 / 1999

页数：13

共 22 条

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