Fox-Neuwirth-Fuks胞腔、量子洗牌代数与函数域上的Malle猜想
数论
2023-03-07 v2 代数几何
代数拓扑
量子代数
摘要
本文旨在证明Malle关于具有指定伽罗瓦群的有限扩张分布的猜想的上界。如同Ellenberg-Venkatesh-Westerland先前的工作，我们的结果基于具有某些(指数)系数的辫群同调的计算。然而，本文的方法是新的，依赖于Hurwitz空间的上同调与量子洗牌代数的上同调之间的联系。
引用
@article{arxiv.1701.04541,
title = {Fox-Neuwirth-Fuks cells, quantum shuffle algebras, and Malle's conjecture for function fields},
author = {Jordan S. Ellenberg and TriThang Tran and Craig Westerland},
journal= {arXiv preprint arXiv:1701.04541},
year = {2023}
}
备注
81 pages. Substantially revised. The most significant change is a new approach to controlling the homological algebra of connected graded algebras in terms of their Koszul complex