Abstract
In this article, we establish some new second main theorems for meromorphic mappings of \({\mathbf {C}}^m\) into \({\mathbf {P}}^n({\mathbf {C}})\) 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. As an application, a unicity theorem for meromorphic mappings sharing moving hyperplanes is given.
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Acknowledgments
This work was done during a stay of the author at the Vietnam Institute for Advanced Study in Mathematics. He would like to thank the institute for their support. This research was supported in part by a NAFOSTED Grant of Vietnam (Grant No. 101.04-2015.03).
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Communicated by Bernd Siebert.
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Quang, S.D. Second main theorems for meromorphic mappings intersecting moving hyperplanes with truncated counting functions and unicity problem. Abh. Math. Semin. Univ. Hambg. 86, 1–18 (2016). https://doi.org/10.1007/s12188-015-0114-1
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DOI: https://doi.org/10.1007/s12188-015-0114-1