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arXiv · 1905.07753

Filtrations on homotopy invariant sheaves with transfers

Tohru Kohrita
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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. 2019-05-19. Filtrations on homotopy invariant sheaves with transfers. https://arxiv.org/abs/1905.07753

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