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Algebraical Dependence and Uniqueness Problem for Meromorphic Mappings with Few Moving Targets

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Abstract

The purpose of this article is twofold. The first is to prove algebraical dependence of meromorphic mappings from \(\mathbb {C}^m\) into \(P^n(\mathbb {C})\) sharing few moving hyperplanes. The second is to show uniqueness theorem for meromorphic mappings from the viewpoint of dependence. These results improve and extend some earlier works.

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Acknowledgments

The research is partially supported by the National Science Foundation of China, Nos: 11401291 and 11461042.

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Authors and Affiliations

  1. Department of Mathematics, Nanchang University, Nanchang, 330031, Jiangxi, People’s Republic of China

    Hongzhe Cao

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  1. Hongzhe Cao
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Correspondence to Hongzhe Cao.

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Communicated by V. Ravichandran.

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Cao, H. Algebraical Dependence and Uniqueness Problem for Meromorphic Mappings with Few Moving Targets. Bull. Malays. Math. Sci. Soc. 41, 837–853 (2018). https://doi.org/10.1007/s40840-016-0368-5

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  • DOI: https://doi.org/10.1007/s40840-016-0368-5

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