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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Published in:arXiv.org 2023-07
Main Authors: Chen, Zhangchi, Dinh Tuan Huynh, Song-Yan, Xie
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Characteristic functions
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Song-Yan, Xie
description 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.
doi_str_mv 10.48550/arxiv.2304.04929
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title Universal Entire Curves in Projective Spaces with Slow Growth
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