SOME FURTHER RESULTS FOR HOLOMORPHIC MAPS ON PARABOLIC RIEMANN SURFACES

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SOME FURTHER RESULTS FOR HOLOMORPHIC MAPS ON PARABOLIC RIEMANN SURFACES

SOME FURTHER RESULTS FOR HOLOMORPHIC MAPS ON PARABOLIC RIEMANN SURFACES

SOME FURTHER RESULTS FOR HOLOMORPHIC MAPS ON PARABOLIC RIEMANN SURFACES

SOME FURTHER RESULTS FOR HOLOMORPHIC MAPS ON PARABOLIC RIEMANN SURFACES

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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

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

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： 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.

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