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arXiv · 1703.03528

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

Pei Chu Hu·Nguyen Van Thin
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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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Pei Chu Hu, Nguyen Van Thin. 2017-03-10. Difference analogue of second main theorems for meromorphic mapping into algebraic variety. https://arxiv.org/abs/1703.03528

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