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arXiv · 0812.2673

Brody curves omitting hyperplanes

Alexandre Eremenko
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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.

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Alexandre Eremenko. 2009-01-21. Brody curves omitting hyperplanes. https://arxiv.org/abs/0812.2673

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