Bulletin of the
Korean Mathematical Society
BKMS

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

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Bull. Korean Math. Soc.

Published online June 30, 2022

Copyright © The Korean Mathematical Society.

Second main theorem with weighted counting functions and uniqueness theorem

Liu Yang

Anhui University of Technology

Abstract

In this paper, we obtain a second main theorem for holomorphic curves and moving hyperplanes of $\mathbf{P}^{n}(\mathbf{C})$ where the counting functions are truncated multiplicity and have different weights. As its application, we prove a uniqueness theorem for holomorphic curves of finite growth index sharing moving hyperplanes with different multiple values.

Keywords: second main theorem, holomorphic curve, uniqueness theorem, moving hyperplane

MSC numbers: 32H30, 30D35

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