Second main theorems for meromorphic mappings and moving hyperplanes with truncated counting functions

Abstract

In this article, we establish some new second main theorems for meromorphic mappings of ${\mathbb{C}}^m$ into ${\mathbb{P}}^n(\mathbb{C})$ and moving hyperplanes with truncated counting functions. Our results are improvements of the previous second main theorems for moving hyperplanes with truncated (to level $n$) counting functions.

This version is a shortened version of the first one by removing the part on the unicity of meromorphic mappings. This paper is accepted for publication in Proceedings of the American Mathematical Society (2018). arXiv admin note: text overlap with arXiv:1402.3156

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