Universal Entire Curves in Projective Spaces with Slow Growth

We construct explicit universal entire curves in projective spaces whose Nevanlinna characteristic functions grow slower than any preassigned transcendental growth rate. Moreover, we can make such curves to be hypercyclic for translation operations along any given countable directions.

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Bibliographic Details
Published in:arXiv.org 2023-07
Main Authors: Chen, Zhangchi, Dinh Tuan Huynh, Song-Yan, Xie
Format: Article
Language:English
Subjects:
Characteristic functions
Online Access:Get full text
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Description
Summary:We construct explicit universal entire curves in projective spaces whose Nevanlinna characteristic functions grow slower than any preassigned transcendental growth rate. Moreover, we can make such curves to be hypercyclic for translation operations along any given countable directions.
ISSN:2331-8422
DOI:10.48550/arxiv.2304.04929