On the Brody hyperbolicity of the complex space $\mathbb C^3$ avoiding complex and real hyperplanes

Abstract

UDC 517.5

We study the Brody hyperbolicity of а complex space $\mathbb C^3$ avoiding the arrangement of complex and real hyperplanes in $\mathbb C^3$. We also investigate the projection onto the  projective complex space $\mathbb C P^2$ of holomorphic maps $f\colon \mathbb C\rightarrow\mathbb C^3$ avoiding this configuration.