论文标题
关于动机和品种的Chow-pure的共同体和Euler特征，以及它们与未受到的同胞和Brauer群体的关系
On Chow-pure cohomology and Euler characteristics for motives and varieties, and their relation to unramified cohomology and Brauer groups
论文作者
论文摘要
我们使用重量结构，重量复合物和相应的纯（CO）同源函数研究三角剖分类别的绿色组。我们证明了对加权类别的$ k_0 $的一些一般性语句，并将其应用于带有所谓的Chow权重结构的Voevodsky动机。我们获得了某些“动机替代品”，以平滑地压实任意完美领域的平滑品种；这使我们能够与T. ekedahl和B. kahn的结果密切相关，使其具有某些未经塑造的共同体学和Euler特征计算。
We study Grothedieck groups of triangulated categories using weight structures, weight complexes, and the corresponding pure (co)homological functors. We prove some general statements on $K_0$ of weighted categories and apply it to Voevodsky motives endowed with so-called Chow weight structures. We obtain certain "motivic substitutes" for smooth compactifications of smooth varieties over arbitrary perfect fields; this enables us to make certain unramified cohomology and Euler characteristic calculations that are closely related to results of T. Ekedahl and B. Kahn.
