A PICARD-TYPE THEOREM AND A UNIQUENESS THEOREM OF NON-ARCHIMEDEAN ANALYTIC CURVES IN PROJECTIVE SPACE

doi:10.1007/s10473-019-0410-4

数学物理学报(英文版) ›› 2019, Vol. 39 ›› Issue (4): 1053-1064.doi: 10.1007/s10473-019-0410-4

A PICARD-TYPE THEOREM AND A UNIQUENESS THEOREM OF NON-ARCHIMEDEAN ANALYTIC CURVES IN PROJECTIVE SPACE

王中华^1,2, 颜启明¹

1. Department of Mathematics, Tongji University, Shanghai 200092, China;
2. School of Mathematics and Statistics, Henan University, Kaifeng 475000, China

收稿日期:2018-01-11 修回日期:2018-05-05 出版日期:2019-08-25 发布日期:2019-09-12
通讯作者: Qiming YAN E-mail:yan_qiming@hotmail.com
作者简介:Zhonghua WANG,E-mail:eoljgt@163.com
基金资助:
This research was supported by Education Department of Henan Province (16A110029), NSFC (11571256).

A PICARD-TYPE THEOREM AND A UNIQUENESS THEOREM OF NON-ARCHIMEDEAN ANALYTIC CURVES IN PROJECTIVE SPACE

Zhonghua WANG^1,2, Qiming YAN¹

1. Department of Mathematics, Tongji University, Shanghai 200092, China;
2. School of Mathematics and Statistics, Henan University, Kaifeng 475000, China

Received:2018-01-11 Revised:2018-05-05 Online:2019-08-25 Published:2019-09-12
Supported by:
This research was supported by Education Department of Henan Province (16A110029), NSFC (11571256).

摘要/Abstract

摘要： In this article, we prove a Picard-type Theorem and a uniqueness theorem for non-Archimedean analytic curves in the projective space Pⁿ(F), where the characteristic of F is 0 or positive. In the main results of this article, we ignore the zeros with large multiplicities.

关键词: Picard-type theorem, uniqueness theorem, non-Archimedean analytic curves

Abstract: In this article, we prove a Picard-type Theorem and a uniqueness theorem for non-Archimedean analytic curves in the projective space Pⁿ(F), where the characteristic of F is 0 or positive. In the main results of this article, we ignore the zeros with large multiplicities.

Key words: Picard-type theorem, uniqueness theorem, non-Archimedean analytic curves

中图分类号:

32P05

王中华, 颜启明. A PICARD-TYPE THEOREM AND A UNIQUENESS THEOREM OF NON-ARCHIMEDEAN ANALYTIC CURVES IN PROJECTIVE SPACE[J]. 数学物理学报(英文版), 2019, 39(4): 1053-1064.

Zhonghua WANG, Qiming YAN. A PICARD-TYPE THEOREM AND A UNIQUENESS THEOREM OF NON-ARCHIMEDEAN ANALYTIC CURVES IN PROJECTIVE SPACE[J]. Acta mathematica scientia,Series B, 2019, 39(4): 1053-1064.

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A PICARD-TYPE THEOREM AND A UNIQUENESS THEOREM OF NON-ARCHIMEDEAN ANALYTIC CURVES IN PROJECTIVE SPACE

A PICARD-TYPE THEOREM AND A UNIQUENESS THEOREM OF NON-ARCHIMEDEAN ANALYTIC CURVES IN PROJECTIVE SPACE

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