PROPER HOLOMORPHIC MAPS FROM THE UNIT DISK TO SOME UNIT BALL

被引：5

作者：

D'Angelo, John P. ^{[1
]}

Huo, Zhenghui ^{[1
,2
]}

Xiao, Ming ^{[1
]}

机构：

[1] Univ Illinois, Dept Math, 1409 W Green St, Urbana, IL 61801 USA

[2] Washington Univ, Dept Math, One Brookings Dr, St Louis, MO 63130 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2017年 / 145卷 / 06期

基金：

美国国家科学基金会;

关键词：

Proper holomorphic mappings; unit disk; unit ball; unitary equivalence; homotopy equivalence; MAPPINGS; EQUIVALENCE;

D O I：

10.1090/proc/13425

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study proper rational maps from the unit disk to balls in higher dimensions. After gathering some known results, we study the moduli space of unitary equivalence classes of polynomial proper maps from the disk to a ball, and we establish a normal form for these equivalence classes. We also prove that all rational proper maps from the disk to a ball are homotopic in target dimension at least 2.

引用

页码：2649 / 2660

页数：12

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