The Nisnevich motive of an algebraic stack

Authors

Utsav Choudhury, Indian Statistical Institute, Kolkata
Neeraj Deshmukh, Universität Zürich
Amit Hogadi, Indian Institute of Science Education and Research Pune

Article Type

Research Article

Publication Title

Annals of K-Theory

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.

First Page

245

Last Page

273

DOI

https://10.2140/akt.2023.8.245

Publication Date

1-1-2023

Comments

Open Access, Green

Recommended Citation

Choudhury, Utsav; Deshmukh, Neeraj; and Hogadi, Amit, "The Nisnevich motive of an algebraic stack" (2023). Journal Articles. 3951.
https://digitalcommons.isical.ac.in/journal-articles/3951