On the existence of singular directions of holomorphic maps from the unit disk into P n(C)

Abstract

This article proves the existence of Julia directions of value distribution of holomorphic mapping f from the unit disk into the n-dimensional complex projective space P n (C) under the assumption lim sup r → 1 - T ( r , f ) / log 1 1 - r = + ∞ for hypersurfaces in general position. A heuristic principle concerning the existence of Julia directions of holomorphic mappings from the unit disk into P n (C) is given also.