Multiple values and uniqueness problem of meromorphic mappings sharing hypersurfaces

TL;DR

This paper investigates the uniqueness and multiple values of meromorphic mappings from complex Euclidean spaces into projective space, focusing on shared fixed and moving hypersurfaces, and presents new theorems that extend existing results.

Contribution

It introduces new uniqueness theorems for meromorphic mappings sharing hypersurfaces, improving and extending prior results in the field.

Findings

New uniqueness theorems for meromorphic mappings

Extensions to shared fixed and moving hypersurfaces

Improved conditions for mapping uniqueness

Abstract

The purpose of this article is to deal with the multiple values and uniqueness problem of meromorphic mappings from $\mathbb{C}^{m}$ into the complex projective space $\mathbb{P}^{n}(\mathbb{C})$ sharing fixed and moving hypersurfaces. We obtain several uniqueness theorems which improve and extend some known results.