HASSE PRINCIPLES FOR ÉTALE MOTIVIC COHOMOLOGY

IF 0.8 2区数学 Q2 MATHEMATICS

Nagoya Mathematical Journal Pub Date : 2018-12-26 DOI:10.1017/nmj.2018.47

Thomas H. Geisser

引用次数: 0

Abstract

We discuss the kernel of the localization map from étale motivic cohomology of a variety over a number field to étale motivic cohomology of the base change to its completions. This generalizes the Hasse principle for the Brauer group, and is related to Tate–Shafarevich groups of abelian varieties.

查看原文本刊更多论文

哈塞原理Étale动机上同

我们讨论了从一个数域上的变种的动机上同到基的变化及其补全的动机上同的局部化映射的核。这推广了Brauer群的Hasse原理，并与阿贝尔变种的state - shafarevich群有关。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Nagoya Mathematical Journal 数学-数学

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： The Nagoya Mathematical Journal is published quarterly. Since its formation in 1950 by a group led by Tadashi Nakayama, the journal has endeavoured to publish original research papers of the highest quality and of general interest, covering a broad range of pure mathematics. The journal is owned by Foundation Nagoya Mathematical Journal, which uses the proceeds from the journal to support mathematics worldwide.