曲面辫群与双重 Kodaira fibrations 的有限商
几何拓扑
2023-05-03 v2 代数几何
群论
摘要
设 为亏格 的闭黎曼曲面。我们综述近期论文 \cite{CaPol19, Pol20, PolSab21} 中获得的某些结果，涉及本文所称的\emph{纯辫商}——即作为两股纯辫群 之商的有限非阿贝尔群。我们还解释如何利用这些群来给出双重 Kodaira fibrations 的新构造。
关键词
引用
@article{arxiv.2106.01743,
title = {Finite quotients of surface braid groups and double Kodaira fibrations},
author = {Francesco Polizzi and Pietro Sabatino},
journal= {arXiv preprint arXiv:2106.01743},
year = {2023}
}
备注
23 pages, 3 figures. To appear in "The Art of Doing Algebraic Geometry", a Springer volume dedicated to Ciro Ciliberto. arXiv admin note: text overlap with arXiv:2102.04963, arXiv:2002.01363, arXiv:1905.03170