BRODY CURVES OMITTING HYPERPLANES

作者:Eremenko Alexandre*
来源:Annales Academiae Scientiarum Fennicae-Mathematica, 2010, 35(2): 565-570.
DOI:10.5186/aasfm.2010.3534

摘要

A Brody curve, a.k.a. normal curve, is a holornorphic map f from the complex line C to the complex projective space P(n) such that the family of its translations {z -> f(z + a): a is an element of C) 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.

  • 出版日期2010