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

Bruno Kahn (1) , Hiroyasu Miyazaki (2) , Shuji Saito (3) , Takao Yamazaki (4)

1 IMJ-PRG (UMR_7586) - Institut de Mathématiques de Jussieu - Paris Rive Gauche
2 RIKEN iTHEMS
3 Graduate School of Mathematical Sciences[Tokyo]
4 Tohoku University, Graduate School of Science, Department of Mathematics

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.

Domaines: Géométrie algébrique [math.AG]

Bruno Kahn, Hiroyasu Miyazaki, Shuji Saito, Takao Yamazaki. Motives with modulus, I: Modulus sheaves with transfers for non-proper modulus pairs. Épijournal de Géométrie Algébrique, 2021, Volume 5, ⟨10.46298/epiga.2021.volume5.5979⟩. ⟨hal-03226204⟩