Purity of reciprocity sheaves
Algebraic Geometry
2020-03-03 v9
Abstract
The purpose of this paper is to prove a conjecture on reciprocity sheaves by Kahn-Saito-Yamazaki. This is accomplished by extending Voevodsky's fundamental results on homotopy invariant (pre)sheaves with transfers to its generalizations, reciprocity sheaves and cube-invariant sheaves in the context of theory of modulus (pre)sheave with transfers. The main results of this paper is expected to play a crucial role in deducing the main properties of the triangulated category of motives with modulus, which is a new triangulated category enlarging Voevodsky's triangulated category of motives to encompass non homotopy invariant motivic phenomena.
Keywords
Cite
@article{arxiv.1704.02442,
title = {Purity of reciprocity sheaves},
author = {Shuji Saito},
journal= {arXiv preprint arXiv:1704.02442},
year = {2020}
}
Comments
A mistake in theory of modulus sheave with transfers (pointed by Ayoub) has been repaired