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

Si Duc Quang

doi:10.1090/proc/14377

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

Complex Variables 2019-02-27 v3

Authors: Si Duc Quang

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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.

Keywords

general mathematical theorems and proofs

Cite

@article{arxiv.1806.01647,
  title  = {Second main theorems for meromorphic mappings and moving hyperplanes with truncated counting functions},
  author = {Si Duc Quang},
  journal= {arXiv preprint arXiv:1806.01647},
  year   = {2019}
}

Comments

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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