Universal Entire Curves in Projective Spaces with Slow Growth

被引：1
|
作者：
Chen, Zhangchi [1 ]
Huynh, Dinh Tuan [2 ]
Xie, Song-Yan [3 ,4 ,5 ]
机构：
[1] Chinese Acad Sci, Acad Math & Syst Sci, Morningside Ctr Math, Beijing 100190, Peoples R China
[2] Hue Univ, Univ Educ, Dept Math, 34 Le Loi St, Hue, Vietnam
[3] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
[4] Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China
[5] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
来源：
JOURNAL OF GEOMETRIC ANALYSIS | 2023年 / 33卷 / 09期
基金：
国家重点研发计划; 中国博士后科学基金;
关键词：
Universality; Entire curves; Hypercyclicity; Nevanlinna characteristic functions; Nevanlinna theory; Rational approximations;
D O I：
10.1007/s12220-023-01368-w
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct explicit universal entire curves h : C ? CPn whose Nevanlinna characteristic functions grow slower than any preassigned transcendental growth rate. Moreover, we can make h to be hypercyclic for translation operations along any given countable directions.
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页数：12
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