Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

HOME ALL ARTICLES View

Bull. Korean Math. Soc. 2020; 57(1): 179-194

Online first article August 23, 2019      Printed January 31, 2020

https://doi.org/10.4134/BKMS.b190135

Copyright © The Korean Mathematical Society.

The weighted second main theorem and algebraic dependence of meromorphic mappings sharing moving hyperplanes

Hongzhe Cao, Lizhen Duan

Nanchang University; Nanchang University

Abstract

In this article, we establish some new second main theorems for meromorphic mappings of $\mathbb{C}^{m}$ into $\mathbb{P}^{n}(\mathbb{C})$, in which the truncated counting functions have different weights. As for application, we deal with the algebraic dependence problem of meromorphic mappings sharing moving hyperplanes in general position.

Keywords: Second main theorem, algebraic dependence, moving hyperplanes

MSC numbers: Primary 32H30, 32A22

Supported by: This work was partially supported by the NSFC (No.11661052, No.11401291).