Reciprocity sheaves

Bruno Kahn; Shuji Saito; Takao Yamazaki; Kay Rülling

doi:10.1112/S0010437X16007466

Reciprocity sheaves

Bruno Kahn, Shuji Saito, Takao Yamazaki, Kay Rülling

SCI - Mathematics

Research output: Contribution to journal › Article › peer-review

21 Citations (Scopus)

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 that reciprocity sheaves will eventually lead to the definition of larger triangulated categories of motivic nature, encompassing non-homotopy invariant phenomena.

Original language	English
Pages (from-to)	1851-1898
Number of pages	48
Journal	Compositio Mathematica
Volume	152
Issue number	9
DOIs	https://doi.org/10.1112/S0010437X16007466
Publication status	Published - 2016 Sep 1

Keywords

Weil reciprocity
homotopy invariance
presheaves with transfers

ASJC Scopus subject areas

Algebra and Number Theory

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10.1112/S0010437X16007466

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AU - Yamazaki, Takao

AU - Rülling, Kay

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KW - homotopy invariance

KW - presheaves with transfers

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