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Choudhury, Utsav; Deshmukh, Neeraj; Hogadi, Amit (2023). The Nisnevich motive of an algebraic stack. Annals of K-Theory, 8(2):245-273.
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: | Journal Article, not_refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Analysis
Physical Sciences > Geometry and Topology |
| Uncontrolled Keywords: | Geometry and Topology, Analysis Sustainable Development Goals ,05 Gender Equality, 04 Quality Education MSC2020, algebraic stacks, motives, motivic cohomology HIGHER INTERSECTION, THEORY, SCHEMES, SPACES Primary: 14F42 |
| Language: | English |
| Date: | 14 June 2023 |
| Deposited On: | 09 Jan 2024 11:10 |
| Last Modified: | 30 Dec 2024 02:53 |
| Publisher: | Mathematical Sciences Publishers |
| ISSN: | 2379-1691 |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.2140/akt.2023.8.245 |
| Project Information: |
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Choudhury, Utsav