论文标题
在高维领域的代数群体和未经塑造的共同体的一些有限结果
Some finiteness results for algebraic groups and unramified cohomology over higher-dimensional fields
论文作者
论文摘要
我们在较高维度的场上为线性代数基团制定和分析了几种有限猜想。实际上,我们证明了代数托里以及其他某些情况下的所有这些猜想。这项工作依赖于一些有限的结果来实现未经塑造的共同体。
We formulate and analyze several finiteness conjectures for linear algebraic groups over higher-dimensional fields. In fact, we prove all of these conjectures for algebraic tori as well as in some other situations. This work relies in an essential way on several finiteness results for unramified cohomology.