Topologies on schemes and modulus pairs
Algebraic Geometry
2023-06-22 v2 K-Theory and Homology
Abstract
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].
Cite
@article{arxiv.1910.14595,
title = {Topologies on schemes and modulus pairs},
author = {Bruno Kahn and Hiroyasu Miyazaki},
journal= {arXiv preprint arXiv:1910.14595},
year = {2023}
}
Comments
Small changes; to appear in Nagoya Math. Journal