Filtrations on homotopy invariant sheaves with transfers

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.

References in corpus (1)

• 1-motivic sheaves and the Albanese functor