SOME PICARD TYPE THEOREMS FOR HOLOMORPHIC CURVES OVER A NON-ARCHIMEDEAN FIELD

Abstract

Picard Theorem is one of fundamental results of complex analysis. This theorem gives the value distributions of meromorphic functions for points in C. This problem caused intensive attentions of many people, and has been generalized in various directions. The research purpose of this paper is to consider the value distributions of holomorphic curves for Fermat-Waring hypersurfaces in non-Archimedean field.