Publication:

The Nisnevich motive of an algebraic stack

Date

Date

Date
2023
Journal Article
Published version

Citations

Citation copied

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)

  • Choudhury, Utsav
    affiliation.icon.alt
  • Deshmukh, Neeraj
    affiliation.icon.alt
  • Hogadi, Amit
    affiliation.icon.alt

Journal/Series Title

Journal/Series Title

Journal/Series Title

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

Dewey Decimal Classifikation

Dewey Decimal Classifikation

Dewey Decimal Classifikation

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

Publisher

Publisher

Publisher

ISSN or e-ISSN

ISSN or e-ISSN

ISSN or e-ISSN
2379-1691

OA Status

OA Status

OA Status
Green

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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

Citation copied

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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