## 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 respectively in [9] and [3]. Our results play an important role in the theory of sheaves with transfers on proper modulus pairs. This is a revised version of arXiv:1809.05851 [math.AG].

Reference : Nagoya Mathematical Journal https://doi.org/10.1017/nmj.2020.15