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

  • Si Duc Quang
Article

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.

Keywords

Nevanlinna Second main theorem Meromorphic mapping Moving hyperplane 

Mathematics Subject Classification

Primary 32H30 32A22 Secondary 30D35 

Notes

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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Copyright information

© Mathematisches Seminar der Universität Hamburg and Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.Department of MathematicsHanoi National University of EducationHanoiVietnam

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