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The
Nisnevich motive of an algebraic stack
Utsav Choudhury, Neeraj Deshmukh and Amit Hogadi |
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Vol. 8 (2023), No. 2, 245–273
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Abstract |
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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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Keywords
algebraic stacks, motives, motivic cohomology
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Mathematical Subject Classification
Primary: 14F42
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Milestones
Received: 10 August 2022
Revised: 19 January 2023
Accepted: 6 February 2023
Published: 14 June 2023
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Authors |
| Utsav Choudhury | |
| Statistics and Mathematics
Unit Indian Statistical Institute Kolkata India |
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| Neeraj Deshmukh | |
| Institute für Mathematik Universität Zürich Zürich Switzerland |
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| Amit Hogadi | |
| Department of Mathematics Indian Insititute of Science Education and Research Pune India |
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| © 2023 MSP (Mathematical Sciences Publishers). |
