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arXiv · 1910.14595

Topologies on schemes and modulus pairs

Bruno Kahn·Hiroyasu Miyazaki
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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].

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Bruno Kahn, Hiroyasu Miyazaki. 2019-10-31. Topologies on schemes and modulus pairs. https://doi.org/10.1017/nmj.2020.15

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