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math.AG2020★ 3 cited
The Nisnevich Motive of an Algebraic Stack
Utsav Choudhury, Neeraj Deshmukh, Amit Hogadi
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 si…
math.AG2020★ 1 cited
A Nisnevich Local Bloch-Ogus Theorem over a General Base
Neeraj Deshmukh, Girish Kulkarni, Suraj Yadav
We prove the exactness of the Nisnevich Gersten complex over a base under some conditions. We also obtain, as a consequence, a Nisnevich analogue of the Bloch-Ogus theorem for étal…