Publication: The Nisnevich motive of an algebraic stack
The Nisnevich motive of an algebraic stack
Date
Date
Date
2023
Journal Article
Published version
Citations
Choudhury, U., Deshmukh, N., & Hogadi, A. (2023). The Nisnevich motive of an algebraic stack. Annals of K-Theory, 8(2), 245–273. https://doi.org/10.2140/akt.2023.8.245
Abstract
Abstract
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.
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Acq. date: 2025-11-12
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Additional indexing
Creators (Authors)
Volume
Volume
Volume
8
Number
Number
Number
2
Page range/Item number
Page range/Item number
Page range/Item number
245
Page end
Page end
Page end
273
Item Type
Item Type
Item Type
Journal Article
In collections
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
Language
Language
English
Publication date
Publication date
Publication date
2023-06-14
Date available
Date available
Date available
2024-01-09
ISSN or e-ISSN
ISSN or e-ISSN
ISSN or e-ISSN
2379-1691
OA Status
OA Status
OA Status
Green
Publisher DOI
Metrics
Downloads
4 since deposited on 2024-01-09
1last week
Acq. date: 2025-11-12
Views
2 since deposited on 2024-01-09
Acq. date: 2025-11-12
Citations
Choudhury, U., Deshmukh, N., & Hogadi, A. (2023). The Nisnevich motive of an algebraic stack. Annals of K-Theory, 8(2), 245–273. https://doi.org/10.2140/akt.2023.8.245
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