3 papers
math.AG2021
Modulus sheaves with transfers
Shane Kelly, Hiroyasu Miyazaki
We generalise Kahn, Miyazaki, Saito, Yamazaki's theory of modulus pairs to pairs consisting of a qcqs scheme equipped with an effective Cartier divisor representin…
math.AG2019
Nisnevich topology with modulus
Hiroyasu Miyazaki
In Voevodsky's theory of motives, the Nisnevich topology on smooth schemes is used as an important building block. In this paper, we introduce a Grothendieck topology on proper mod…
math.AG2018
Mayer-Vietoris triangles for motives with modulus
Bruno Kahn, Hiroyasu Miyazaki
We construct "MV squares" in the category of modulus pairs which was introduced in arXiv:1511.07124 [math:AG]. They allow us to describe the category $\mathbf{MDM}_…