Acta mathematica scientia,Series B ›› 2022, Vol. 42 ›› Issue (4): 1645-1665.doi: 10.1007/s10473-022-0421-4

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SOME FURTHER RESULTS FOR HOLOMORPHIC MAPS ON PARABOLIC RIEMANN SURFACES

Menglong HONG   

  1. School of Mathematical, East China Normal University, Shanghai, 200000, China
  • Received:2021-05-25 Online:2022-08-25 Published:2022-08-23
  • Contact: Menglong HONG,E-mail:894326916@qq.com E-mail:894326916@qq.com

Abstract: In [1], they generalized R. Nevanlinna's results to $Y$, where $Y$ is a parabolic Riemann Surface. In this paper, following their method, we develop some further results for holomorphic maps on $Y$, including the maps into ${\mathbb P}^n(\mathbb{C})$, the complex projective varieties, and Abelian varieties.

Key words: Parabolic Riemann surfaces, holomorphic maps

CLC Number: 

  • 32A10
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