Brody curves omitting hyperplanes
Complex Variables
2012-02-07 v2
Abstract
A Brody curve, a.k.a. normal curve, is a holomorphic map from the complex line to the complex projective space of dimension n, such that the family of its translations is normal. We prove that Brody curves omitting n hyperplanes in general position have growth order at most one, normal type. This generalizes a result of Clunie and Hayman who proved it for n=1.
Keywords
Cite
@article{arxiv.0812.2673,
title = {Brody curves omitting hyperplanes},
author = {Alexandre Eremenko},
journal= {arXiv preprint arXiv:0812.2673},
year = {2012}
}
Comments
8 pages