Azumaya 代数的动机
K理论与同调
2008-02-17 v2 代数几何
摘要
我们研究了 Azumaya 代数层 的 K-理论的 slice filtration，以及 Severi-Brauer 簇的动机，后者针对域上素数次数的中心单代数情形。利用 Beilinson-Lichtenbaum 猜想，我们应用所得结果证明了对于无平方因子的指数的中心单代数 ， 为零。
引用
@article{arxiv.0710.1614,
title = {Motives of Azumaya algebras},
author = {Bruno Kahn and Marc Levine},
journal= {arXiv preprint arXiv:0710.1614},
year = {2008}
}
备注
An error in prop. 4.6.1 and theorem 4.7.1 was corrected by adding the hypothesis that A has square free index. Some duplicate statements were consolidated and more detail on the use of the Bloch-Kato conjectures was added