Normal Families of Holomorphic Curves and Sharing of Moving Hyperplanes Wandering on ${\mathbb{P}}^n$

Abstract

In this paper, we extend a result of Schwick concerning normality and sharing values in one complex variable for families of holomorphic curves taking values in ${\mathbb{P}}^n$. We consider wandering moving hyperplanes (i.e., depending on the respective holomorphic curve in the family under consideration), and establish a sufficient condition of normality concerning shared hyperplanes.