SOME FURTHER RESULTS FOR HOLOMORPHIC MAPS ON PARABOLIC RIEMANN SURFACES

doi:10.1007/s10473-022-0421-4

数学物理学报(英文版) ›› 2022, Vol. 42 ›› Issue (4): 1645-1665.doi: 10.1007/s10473-022-0421-4

SOME FURTHER RESULTS FOR HOLOMORPHIC MAPS ON PARABOLIC RIEMANN SURFACES

洪梦龙

School of Mathematical, East China Normal University, Shanghai, 200000, China

收稿日期:2021-05-25 出版日期:2022-08-25 发布日期:2022-08-23
通讯作者: Menglong HONG,E-mail:894326916@qq.com E-mail:894326916@qq.com

SOME FURTHER RESULTS FOR HOLOMORPHIC MAPS ON PARABOLIC RIEMANN SURFACES

Menglong HONG

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

摘要/Abstract

摘要： 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.

关键词: Parabolic Riemann surfaces, holomorphic maps

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

中图分类号:

32A10

洪梦龙. SOME FURTHER RESULTS FOR HOLOMORPHIC MAPS ON PARABOLIC RIEMANN SURFACES[J]. 数学物理学报(英文版), 2022, 42(4): 1645-1665.

Menglong HONG. SOME FURTHER RESULTS FOR HOLOMORPHIC MAPS ON PARABOLIC RIEMANN SURFACES[J]. Acta mathematica scientia,Series B, 2022, 42(4): 1645-1665.

参考文献

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SOME FURTHER RESULTS FOR HOLOMORPHIC MAPS ON PARABOLIC RIEMANN SURFACES

SOME FURTHER RESULTS FOR HOLOMORPHIC MAPS ON PARABOLIC RIEMANN SURFACES

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