曲面的单连通性质  

Simply-connected Properties of Algebraic Surfaces

作　　者：AMRAM Meirav 莫佳丽 AMRAM Meirav;MO Jiali(Shamoon College of Engineering,Ashdod,Israel;Department of Mathematics,Soochow University,Suzhou 215006,China)

机构地区：[1]萨米沙蒙工程学院数学系,以色列阿什杜德 [2]苏州大学数学科学学院,江苏苏州215006

出　　处：《湖州师范学院学报》2023年第4期1-8,共8页Journal of Huzhou University

基　　金：Postgraduate Research&Practice Innovation Program of Jiangsu Province(KYCX22_3180)。

摘　　要：给出辫群技术,利用其去研究曲面的伽罗华覆盖的基本群,以确认一个曲面是否单连通.作为算法的应用,其提供了一族非单连通曲面.In this paper,we use the braid group technique to study the fundamental groups of the Galois covers of algebraic surfaces.Our purpose is to determine whether a surfaces is simply-connected or not.As an application of our algorithm,we also provide a series of surfaces which are not simply-connected.

关 键 词：辫群 伽罗华覆盖 单连通 

分 类 号：O187.1[理学—数学]