Choudhury, Utsav ; Deshmukh, Neeraj ; Hogadi, Amit (2023) The Nisnevich motive of an algebraic stack Annals of K-Theory, 8 (2). pp. 245-273. ISSN 2379-1691
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Official URL: https://doi.org/10.2140/akt.2023.8.245
Related URL: http://dx.doi.org/10.2140/akt.2023.8.245
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 the motivic cohomology agrees with the Chow groups of Edidin–Graham–Totaro with integer coefficients.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Mathematical Sciences Publishers. |
| Keywords: | Algebraic stacks; Motives; Motivic cohomology. |
| ID Code: | 141823 |
| Deposited On: | 27 Dec 2025 12:02 |
| Last Modified: | 27 Dec 2025 12:02 |
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