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.
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)
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)。
关键词
辫群
伽罗华覆盖
单连通
braid group
Galois covers
simply-connected
