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.

引用

页数：12

共 39 条

[1] Universal Entire Curves in Projective Spaces with Slow Growth
Zhangchi Chen
Dinh Tuan Huynh
Song-Yan Xie
The Journal of Geometric Analysis, 2023, 33
[2] ENTIRE HOLOMORPHIC CURVES INTO PROJECTIVE SPACES INTERSECTING A GENERIC HYPERSURFACE OF HIGH DEGREE
Dinh Than Huynh
Duc-Viet Vu
Xie, Song-Yon
ANNALES DE L INSTITUT FOURIER, 2019, 69 (02) : 653 - 671
[3] Non-deformability of entire curves in projective hypersurfaces of high degree
Debarre, O
Pacienza, G
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ANNALES DE L INSTITUT FOURIER, 2006, 56 (01) : 247 - 253
[4] Holomorphic curves into projective spaces with some special hypersurfaces
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DEMONSTRATIO MATHEMATICA, 2024, 57 (01)
[5] On Defects of Entire Curves of Finite Lower Order
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TAIWANESE JOURNAL OF MATHEMATICS, 2024, 28 (06): : 1205 - 1221
[6] Convolution operators on spaces of entire functions
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MATHEMATISCHE NACHRICHTEN, 2018, 291 (01) : 41 - 54
[7] Entire curves, integral sets and principal bundles
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Science China Mathematics, 2011, 54 : 1803 - 1814
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Paun, Mihai
COMPOSITIO MATHEMATICA, 2007, 143 (01) : 95 - 111
[9] Entire curves,integral sets and principal bundles
WINKELMANN Jrg
Science China(Mathematics), 2011, 54 (08) : 1803 - 1814
[10] Entire curves, integral sets and principal bundles
Winkelmann, Joerg
SCIENCE CHINA-MATHEMATICS, 2011, 54 (08) : 1803 - 1814

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