Motives with modulus, II: Modulus sheaves with transfers for 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 sheaves and cohomology on the category of proper modulus pairs. This complements the first part, where a theory of sheaves and cohomology on the category of non-proper modulus pairs has been developed.

Domaines: Géométrie algébrique [math.AG]

Bruno Kahn, Hiroyasu Miyazaki, Shuji Saito, Takao Yamazaki. Motives with modulus, II: Modulus sheaves with transfers for proper modulus pairs. Épijournal de Géométrie Algébrique, 2021, Volume 5, ⟨10.46298/epiga.2021.volume5.5980⟩. ⟨hal-03226206⟩