Algebraic dependences of meromorphic mappings sharing moving hyperplanes without counting multiplicities

Authors: Lê Ngọc Quỳnh,

https://doi.org/10.1142/S1793557117500401

Publisher, magazine: ,

Publication year: 2017

  Lưu        Trích dẫn         Chia sẻ

Abstract

This paper deals with the multiple values and algebraic dependences problem of meromorphic mappings sharing moving hyperplanes in projective space. We give some algebraic dependences theorems for meromorphic mappings sharing moving hyperplanes without counting multiplicity, where all zeros with multiplicities more than a certain number are omitted. Basing on these results, some unicity theorems regardless of multiplicity for meromorphic mappings in several complex variables are given. These results are extensions and strong improvements of some recent results.

Tags: meromorphic mappings; sharing of moving hyperplanes; uniqueness results