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Unicity of Meromorphic Mappings Sharing Few Moving Hyperplanes

Abstract

In this paper, the Second Main Theorem for moving targets given by Thai–Quang (Forum Math. 20:163–179, 2008) is generalized. As its applications, some unicity theorems for meromorphic mappings of C m into the complex projective space P n(C) sharing moving hyperplanes regardless of multiplicities are shown.

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Acknowledgements

The authors would like to thank Professor Do Duc Thai for many useful suggestions concerning this material. The research of the authors is supported by an NAFOSTED grant of Vietnam (Grant No. 101.01-2011.29).

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Correspondence to Si Duc Quang.

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Quang, S.D., An, D.P. Unicity of Meromorphic Mappings Sharing Few Moving Hyperplanes. Viet J Math 41, 383–398 (2013). https://doi.org/10.1007/s10013-013-0035-1

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  • DOI: https://doi.org/10.1007/s10013-013-0035-1

Keywords

  • Meromorphic mapping
  • Unicity theorem
  • Second main theorem
  • Truncated multiplicity
  • Moving hyperplane

Mathematics Subject Classification (2010)

  • 32H30
  • 32A22
  • 30D35