34 citations · 236 across the 42 of their papers we have counts for
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math.AG2019★ 1 cited
Topologies on schemes and modulus pairs
Bruno Kahn, Hiroyasu Miyazaki
We study relationships between the Nisnevich topology on smooth schemes and certain Grothendieck topologies on proper and not necessarily proper modulus pairs which were introduced…
math.AG2019★ 10 cited
Motives with modulus, II: Modulus sheaves with transfers for proper modulus pairs
Bruno Kahn, Hiroyasu Miyazaki, Shuji Saito +1
We develop a theory of sheaves and cohomology on the category of proper modulus pairs. This complements [KMSY21], where a theory of sheaves and cohomology on the category of non-pr…
math.AG2019★ 11 cited
Motives with modulus, I: Modulus sheaves with transfers for non-proper modulus pairs
Bruno Kahn, Hiroyasu Miyazaki, Shuji Saito +1
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…