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Filtrations on homotopy invariant sheaves with transfers

2019/05/19 by Tohru Kohrita, Kohrita, Tohru
Mathematics · #Algebraic structures and combinatorial models #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.1905.07753

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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