Holomorphic mappings into the complex projective space with moving hypersurfaces

Abstract

Motivated by Eremenko's accomplishment of a Picard-type theorem [ Period Math Hung.38 (1999), pp. 39-42.],we study the normality of familiesof holomorphic mappings of several complex variables into the complex projective space for moving hypersurfaces located in general position.Our results generalize and complete previous results in this area, especially the works of Dufresnoy,Tu-Li, Tu-Cao, Yang-Fang-Pang and the recent work
of Ye-Shi-Pang.