Brody curves omitting hyperplanes

Details Brody curves omitting hyperplanes Brody curves omitting hyperplanes

2008-12-14

arxiv.org/abs/0812.2673v2

Ann. Acad. Sci. Fenn. Math., 35 (2010) 565-570

Mathematics

Complex Variables

8 pages

Scientific paper

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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