Voevodsky 动机与 Weil 互反性
代数几何
2019-12-19 v2
摘要
我们用 Voevodsky 动机范畴中的张量积来描述与有限半阿贝尔簇(或更一般的层)集合相关联的 Somekawa K-群。Somekawa 的定义基于 Weil 互反性,而 Voevodsky 范畴基于同伦不变性。我们将此应用于对某些代数闭链的显式描述。
引用
@article{arxiv.1108.2764,
title = {Voevodsky's motives and Weil reciprocity},
author = {Bruno Kahn and Takao Yamazaki},
journal= {arXiv preprint arXiv:1108.2764},
year = {2019}
}
备注
Revised version; the title and introduction were changed. arXiv admin note: substantial text overlap with arXiv:1009.4554