一个关于处于一般位置的nef除子补的Brody双曲性结果  

A Brody hyperbolicity result for the complement of nef divisors in general position

作　　者：范春 于光升 FAN Chun;YU Guangsheng(School of Mathematics and Statistics,Ningbo University,315211,China)

机构地区：[1]宁波大学数学与统计学院,浙江宁波315211

出　　处：《宁波大学学报（理工版）》2023年第5期91-96,共6页Journal of Ningbo University：Natural Science and Engineering Edition

基　　金：国家自然科学基金(12271275)。

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.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.

关 键 词：NEVANLINNA理论 第二基本定理 一般位置 Brody双曲 

分 类 号：O174[理学—数学]