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A Finiteness Theorem for Meromorphic Mappings Sharing Few Moving Hyperplanes

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Abstract

In this article, we prove a finiteness theorem for meromorphic mappings of \(\mathbb {C}^{m}\) into \(\mathbb {P}^{n}(\mathbb {C})\) sharing few moving hyperplanes regardless of multiplicities with a general condition on the intersections of the inverse images of these hyperplanes. In the last section of this paper, we will consider the case where the meromorphic mappings share different families of moving hyperplanes.

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Acknowledgments

This work was done during a stay of the first author at Vietnam Institute for Advanced Study in Mathematics. He would like to thank the institute for support. The authors would also like to thank the referee for his/her helpful comments on the first version of this paper.

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Authors and Affiliations

  1. Department of Mathematics, Hanoi National University of Education, 136 Xuan Thuy, Cau Giay, Hanoi, Vietnam

    Si Duc Quang

  2. Faculty of Fundamental Sciences, Electric Power University, 235 Hoang Quoc Viet, Tu Liem, Ha Noi, Vietnam

    Ha Huong Giang

Authors
  1. Si Duc Quang
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  2. Ha Huong Giang
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Correspondence to Si Duc Quang.

Additional information

The first author was Session invited speaker at the Vietnam Congress of Mathematicians 2013.

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Quang, S.D., Giang, H.H. A Finiteness Theorem for Meromorphic Mappings Sharing Few Moving Hyperplanes. Vietnam J. Math. 43, 725–742 (2015). https://doi.org/10.1007/s10013-015-0136-0

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  • DOI: https://doi.org/10.1007/s10013-015-0136-0

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