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.
Hongzhe Cao, Lizhen Duan
Nanchang University; Nanchang University
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).
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd