Filtrations on homotopy invariant sheaves with transfers

Published 19 May 2019 in math.AG and math.KT | (1905.07753v1)

Abstract: We construct filtrations on homotopy invariant sheaves with transfers and show that under Ayoub's conjectures on $n$-motives, our filtration agrees with the one conjectured by Ayoub and Barbieri-Viale if the latter exists. Our construction is directly motivated by the work of Pelaez.

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Tohru Kohrita

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