Bruno Kahn ; Hiroyasu Miyazaki ; Shuji Saito ; Takao Yamazaki - Motives with modulus, I: Modulus sheaves with transfers for non-proper modulus pairs

epiga:5979 - Épijournal de Géométrie Algébrique, January 21, 2021, Volume 5 - https://doi.org/10.46298/epiga.2021.volume5.5979
Motives with modulus, I: Modulus sheaves with transfers for non-proper modulus pairsArticle

Authors: Bruno Kahn ORCID; Hiroyasu Miyazaki ; Shuji Saito ; Takao Yamazaki

We develop a theory of modulus sheaves with transfers, which generalizes Voevodsky's theory of sheaves with transfers. This paper and its sequel are foundational for the theory of motives with modulus, which is developed in [KMSY20].

Comment: 64 pages

https://doi.org/10.46298/epiga.2021.volume5.5979
Source: arXiv.org:1908.02975
Volume: Volume 5
Published on: January 21, 2021
Accepted on: December 19, 2020
Submitted on: December 17, 2019
Keywords: Mathematics - Algebraic Geometry, Mathematics - K-Theory and Homology, 19E15, 14F42, 19D45, 19F15
Licence: Attribution-ShareAlike 4.0 International (CC BY-SA 4.0)

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