Algebraic dependences and uniqueness problem of meromorphic mappings sharing moving hyperplanes without counting multiplicities

TL;DR

This paper investigates the algebraic dependences and uniqueness of meromorphic mappings sharing moving hyperplanes in projective space, providing new theorems that extend and improve previous results without counting multiplicities.

Contribution

It introduces new algebraic dependence theorems and unicity results for meromorphic mappings sharing moving hyperplanes, omitting multiplicities above a certain threshold.

Findings

New algebraic dependence theorems for meromorphic mappings

Unicity theorems independent of multiplicity

Extensions and improvements of recent results

Abstract

This article 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.