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arXiv · 2012.13304

The Nisnevich Motive of an Algebraic Stack

Utsav Choudhury·Neeraj Deshmukh·Amit Hogadi
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Abstract

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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Utsav Choudhury, Neeraj Deshmukh, Amit Hogadi. 2020-12-24. The Nisnevich Motive of an Algebraic Stack. https://doi.org/10.2140/akt.2023.8.245

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