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arXiv · 2306.11193

Universal holomorphic maps with slow growth I. An Algorithm

Bin Guo·Song-Yan Xie
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Abstract

We design an Algorithm to fabricate universal holomorphic maps between any two complex Euclidean spaces, within preassigned transcendental growth rate. As by-products, universal holomorphic maps from $\mathbb{C}^n$ to $\mathbb{CP}^m$ ($n\leqslant m$) and to complex tori having slow growth are obtained. We take inspiration from Oka manifolds theory, Nevanlinna theory, and hypercyclic operators theory.

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Bin Guo, Song-Yan Xie. 2023-06-19. Universal holomorphic maps with slow growth I. An Algorithm. https://doi.org/10.1007/s00208-023-02719-2

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