代数栈的 Nisnevich 动机
代数几何
2023-06-21 v3 K理论与同调
摘要
我们在 Nisnevich 拓扑下构造代数栈的动机。对于 Nisnevich 局部商栈,我们给出了用单纯概形表示的动机。我们还证明了对于商栈,其动机上同调与带整数系数的 Edidin-Graham-Totaro Chow 群一致。
引用
@article{arxiv.2012.13304,
title = {The Nisnevich Motive of an Algebraic Stack},
author = {Utsav Choudhury and Neeraj Deshmukh and Amit Hogadi},
journal= {arXiv preprint arXiv:2012.13304},
year = {2023}
}
备注
20 pages. (v2) New section (Section 5) added on applications to motivic cohomology of stacks; (v3) minor changes