Difference analogue of second main theorems for meromorphic mapping into algebraic variety
Complex Variables
2018-05-22 v2
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.
Cite
@article{arxiv.1703.03528,
title = {Difference analogue of second main theorems for meromorphic mapping into algebraic variety},
author = {Pei Chu Hu and Nguyen Van Thin},
journal= {arXiv preprint arXiv:1703.03528},
year = {2018}
}
Comments
We extend the result in arXiv:1703.03528v1, 29 pages