Portal de Periódicos da CAPES

Motives with modulus, I: Modulus sheaves with transfers for non-proper modulus pairs

2021; Épisciences.org; Volume: Volume 5; Linguagem: Inglês

10.46298/epiga.2021.volume5.5979

2491-6765

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

Algebraic Geometry and Number Theory

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].