A Difference Analogue of Cartan’s Second Main Theorem for Meromorphic Mappings

Resumo

In this paper, we prove a difference analogue of Cartan’s second main theorem for a meromorphic mapping on ℂ^m intersecting a finite set of fixed hyperplanes in general position on ℙⁿ(ℂ). As an application, we prove a uniqueness theorem for a class of holomorphic curves by inverse images of n + 4 hyperplanes. This result is so far the best result about the uniqueness problem for holomorphic curves by inverse images of hyperplanes.