高维域上代数群与无分歧上同调的若干有限性结果
数论
2020-02-18 v2 代数几何
群论
摘要
我们提出并分析了关于高维域上线性代数群的若干有限性猜想。事实上，我们证明了代数环面以及某些其他情形下的所有这些猜想。本工作本质上依赖于无分歧上同调的几个有限性结果。
引用
@article{arxiv.2002.01520,
title = {Some finiteness results for algebraic groups and unramified cohomology over higher-dimensional fields},
author = {Andrei S. Rapinchuk and Igor A. Rapinchuk},
journal= {arXiv preprint arXiv:2002.01520},
year = {2020}
}
备注
Besides minor changes in exposition, we have added a new adelic proof of Theorem 1.2. This, in particular, allows us to remove any restrictions on the characteristic of the field