Motives with modulus, I: Modulus sheaves with transfers for non-proper
modulus pairsArticleAuthors: Bruno Kahn

; Hiroyasu Miyazaki ; Shuji Saito ; Takao Yamazaki
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Bruno Kahn;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
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