Universal Entire Curves in Projective Spaces with Slow Growth

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.

In this version we fixed some typos

Cited by in corpus (2)

• Universal holomorphic maps with slow growth I. An Algorithm
• Entire curves producing distinct Nevanlinna currents