A note on the improvement of Cartan–Nochka’s theorem

Source abstract

In this paper, we introduce the generalized Nochka weights for the family of hyperplanes in the projective space [Formula: see text], defined via their generalized Nochka diagram and give an improvement of Cartan–Nochka’s theorem for holomorphic mappings from the complex plane into [Formula: see text] that intersect these hyperplanes.