一个关于处于一般位置的nef除子补的Brody双曲性结果
PDF下载 (202)范 春,于光升.一个关于处于一般位置的nef除子补的Brody双曲性结果[J].宁波大学学报(理工版),2023,36(5):91-96.DOI:10.20098/j.cnki.1001-5132.2023.0339
FAN Chun,YU Guangsheng.A Brody hyperbolicity result for the complement of nef divisors in general position[J].Journal of Ningbo University(Natural Science & Engineering Edition),2023,36(5):91-96.DOI:10.20098/j.cnki.1001-5132.2023.0339
| Title: | A Brody hyperbolicity result for the complement of nef divisors in general position |
| 作者: | 范 春, 于光升 |
| Author(s): | FAN Chun, YU Guangsheng |
| 关键词: | Nevanlinna理论; 第二基本定理; 一般位置; Brody双曲 |
| Keywords: | Nevanlinna theory; second main theorem; in general position; Brody hyperbolicity |
| 分类号: | O174 |
| DOI: | 10.20098/j.cnki.1001-5132.2023.0339 |
| 文献标识码: | A |
| 摘要: | 为了建立关于nef除子补的Brody双曲性的定量结果, 采用了Nevanlinna理论的方法. 首先给出一个关于非常值的全纯曲线与处于一般位置的除子交的Nevanlinna理论第二基本定理型结果, 然后通过构造适当的nef和ample除子, 给出了全纯曲线的像在不取某些nef除子时必为常值的结果. |
| Abstract: | The main purpose of this paper is to seek a quantitative Brody hyperbolicity result on the complements of nef divisors using Nevanlinna theory, for which we first find a second main theorem type result of Nevanlinna theory for nonconstant holomorphic curves intersecting divisors in general position. By constructing appropriate nef and ample divisors, we succeed in obtaining the result that the holomorphic curve must be kept constant when omitting some nef divisors. |
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| 备注/Memo: | 收稿日期: 2023－03－27. 宁波大学学报（理工版）网址: http://journallg.nbu.edu.cn/ 基金项目: 国家自然科学基金（12271275）. 宁波大学学报（理工版）网址：http://journallg.nbu.edu.cn/第一作者: 范春（1998－）, 女, 四川自贡人, 在读硕士研究生, 主要研究方向: 多复变函数. E-mail: m17341738870@163.com *通信作者: 于光升（1991－）, 男, 山东日照人, 博士/副教授, 主要研究方向: 多复变函数. E-mail: yuguangsheng@nbu.edu.cn |
