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Article Dans Une Revue Nagoya Mathematical Journal Année : 2021

Topologies on schemes and modulus pairs

Bruno Kahn
Hiroyasu Miyazaki
  • Fonction : Auteur

Résumé

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].

Dates et versions

hal-02739786 , version 1 (02-06-2020)

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Bruno Kahn, Hiroyasu Miyazaki. Topologies on schemes and modulus pairs. Nagoya Mathematical Journal, 2021, 244, pp.283-313. ⟨10.1017/nmj.2020.15⟩. ⟨hal-02739786⟩
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