English

Filtrations on homotopy invariant sheaves with transfers

Algebraic Geometry 2019-05-21 v1 K-Theory and Homology

Abstract

We construct filtrations on homotopy invariant sheaves with transfers and show that under Ayoub's conjectures on nn-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.

Keywords

Cite

@article{arxiv.1905.07753,
  title  = {Filtrations on homotopy invariant sheaves with transfers},
  author = {Tohru Kohrita},
  journal= {arXiv preprint arXiv:1905.07753},
  year   = {2019}
}