Title: Difference analogue of second main theorems for meromorphic mapping into algebraic variety,
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.