Reciprocity sheaves
Algebraic Geometry
2019-02-20 v3 K-Theory and Homology
Number Theory
Abstract
We start developing a notion of reciprocity sheaves, generalizing Voevodsky's homotopy invariant presheaves with transfers which were used in the construction of his triangulated categories of motives. We hope reciprocity sheaves will eventually lead to the definition of a larger triangulated category of motivic nature, encompassing non homotopy invariant phenomena.
Keywords
Cite
@article{arxiv.1402.4201,
title = {Reciprocity sheaves},
author = {Bruno Kahn and Shuji Saito and Takao Yamazaki},
journal= {arXiv preprint arXiv:1402.4201},
year = {2019}
}
Comments
59 pages, two appendices by Kay R\"ulling