局部 Galois 表示与商奇点的质量公式 I：计数函数的比较
数论
2024-02-27 v3 代数几何
摘要
我们研究了 Artin 导体与来自野生 Deligne-Mumford 栈上动机积分的权重之间的关系。作为应用，我们证明了 McKay 对应关系的某种形式，该关系将 Bhargava 关于局部域扩张的质量公式与点的 Hilbert 方案联系起来。
引用
@article{arxiv.1309.2879,
title = {Mass formulas for local Galois representations and quotient singularities I: a comparison of counting functions},
author = {Melanie Machett Wood and Takehiko Yasuda},
journal= {arXiv preprint arXiv:1309.2879},
year = {2024}
}
备注
22 pages, v.3: Section 5.1 was modified. Accordingly notation of (semi)rings was also modified in the rest of Section 5, to appear in International Mathematics Research Notices