代数堆栈的Nisnevich动机

IF 0.5 Q3 MATHEMATICS Annals of K-Theory Pub Date : 2020-12-24 DOI:10.2140/akt.2023.8.245

Utsav Choudhury, Neeraj Deshmukh, A. Hogadi

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引用次数: 1

摘要

我们构造了Nisnevich拓扑中代数堆栈的动机。对于Nisnevich局部商栈，我们用单纯形格式给出了其动机。我们还证明了商栈的动上同调与具有整数系数的Edidin-Graham-Totaro-Chou群一致。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The Nisnevich motive of an algebraic stack

We construct the motive of an algebraic stack in the Nisnevich topology. For stacks which are Nisnevich locally quotient stacks, we give a presentation of the motive in terms of simplicial schemes. We also show that for quotient stacks the motivic cohomology agrees with the Edidin-Graham-Totaro Chow groups with integer coefficients.

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