Homology, Homotopy and Applications

Volume 24 (2022)

Number 1

Reciprocity sheaves, II

Pages: 71 – 91

DOI: https://dx.doi.org/10.4310/HHA.2022.v24.n1.a4


Bruno Kahn (Institut de Mathématiques de Jussieu-Paris Rive Gauche, Paris, France)

Shuji Saito (Graduate School of Mathematical Sciences, University of Tokyo, Komaba, Tokyo, Japan)

Takao Yamazaki (Institute of Mathematics, Tohoku University, Aoba, Sendai, Japan)


We exhibit an intimate relationship between “reciprocity sheaves” from [7] and “modulus sheaves with transfers” from [4, 5].


triangulated motives, modulus pair

2010 Mathematics Subject Classification

Primary 19E15. Secondary 14F42, 19F15.

Copyright © 2022, Bruno Kahn, Shuji Saito and Takao Yamazaki. Permission to copy for private use granted.

The first author acknowledges the support of Agence Nationale de la Recherche (ANR) under reference ANR-12-BL01-0005. The second author is supported by JSPS KAKENHI Grant (15H03606). The third author is supported by JSPS KAKENHI Grant (15K04773).

Received 5 February 2021

Received revised 21 February 2021

Accepted 21 February 2021

Published 30 March 2022