单幂群算术不变量的病态行为
数论
2021-11-03 v4
摘要
我们证明了在 \cite{rospred} 中证明的关于整体函数域上伪约化群的 Tamagawa 数、Tate-Shafarevich 集及其他算术不变量的所有良好性质，一般对非交换单幂群不再成立。我们也给出了一些正面结果，表明在整体函数域上任意连通线性代数群的 Tamagawa 数确实表现出某种合理的行为。
引用
@article{arxiv.1907.06225,
title = {Pathological Behavior of Arithmetic Invariants of Unipotent Groups},
author = {Zev Rosengarten},
journal= {arXiv preprint arXiv:1907.06225},
year = {2021}
}
备注
37 pages; This is the second half of a preprint arXiv:1806.10723 submitted earlier; we have broken it up in order to make the arXiv versions conform to the published ones