Difference analogue of second main theorems for meromorphic mapping into algebraic variety

2017/03/10 by Hu, Pei Chu, Van Thin, Nguyen
#Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1703.03528

Abstract

In this paper, we prove some difference analogue of second main theorems of meromorphic mapping from Cm into an algebraic variety V intersecting a finite set of fixed hypersurfaces in subgeneral position. As an application, we prove a result on algebraically degenerate of holomorphic curves intersecting hypersurfaces and difference analogue of Picard's theorem on holomorphic curves. Furthermore, we obtain a second main theorem of meromorphic mappings intersecting hypersurfaces in N-subgeneral position for Veronese embedding in Pn(C) and a uniqueness theorem sharing hypersurfaces.

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