涉及移动目标的亚纯映射唯一性定理

Uniqueness Theorem on Meromorphic Mappings with Few Moving Targets

本文首先证明了一个新的从C^n到P^N(C)的亚纯映射第二基本定理,其中涉及到带有不同权重的截断型计算函数;其次利用这个新的第二基本定理,考虑了退化的亚纯映射在分担处于一般位置的移动超平面下的唯一性问题,并在较弱的条件下获得了一个唯一性结果,改进了已有的一些经典结果.

In this paper,concerning some truncated counting functions with different weights,we prove a new second main theorem for meromorphic mappings from C^n into P^N(C).By using the new second main theorem,we consider the uniqueness problem for the case of degenerate meromorphic mappings sharing moving hyperplanes located in general position,and a uniqueness result is obtained under some weak conditions,which can be seen as an improvement of previous well-known results.