English

Universal Entire Curves in Projective Spaces with Slow Growth

Complex Variables 2023-07-18 v2

Abstract

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.

Keywords

Cite

@article{arxiv.2304.04929,
  title  = {Universal Entire Curves in Projective Spaces with Slow Growth},
  author = {Zhangchi Chen and Dinh Tuan Huynh and Song-Yan Xie},
  journal= {arXiv preprint arXiv:2304.04929},
  year   = {2023}
}

Comments

In this version we fixed some typos