$\operatorname{GU}(2,2)$ 的上同调类的范数相容系统
数论
2018-07-19 v2
摘要
我们描述了 Faltings 关于构造与辛 Shimura 簇相关的 étale 上同调类的工作，并证明它们满足某些迹相容性，类似于模曲线情形中 Siegel 单位的那些。由此出发，我们构造了酉 Shimura 簇上同调中一个双变量族的迹相容类。
引用
@article{arxiv.1711.10571,
title = {Norm-compatible systems of cohomology classes for $\operatorname{GU}(2,2)$},
author = {Antonio Cauchi},
journal= {arXiv preprint arXiv:1711.10571},
year = {2018}
}
备注
33 pages; title changed; in the current version, we construct a two variable family of norm-compatible classes in the cohomology of the Shimura variety for GU(2,2) (see Theorem B of the introduction), improving substantially Corollary B of the previous version