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TOPOLOGIES ON SCHEMES AND MODULUS PAIRS

Published online by Cambridge University Press:  13 July 2020

BRUNO KAHN
Affiliation:
IMJ-PRG, Case 247, 4 place Jussieu, 75252 Paris Cedex 05, France email bruno.kahn@imj-prg.fr
HIROYASU MIYAZAKI
Affiliation:
RIKEN iTHEMS, Wako, Saitama 351-0198, Japan email hiroyasu.miyazaki@riken.jp

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 in previous papers. Our results play an important role in the theory of sheaves with transfers on proper modulus pairs.

Type
Article
Copyright
© 2020 Foundation Nagoya Mathematical Journal

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Footnotes

The first author acknowledges the support of Agence Nationale de la Recherche (ANR) under reference ANR-12-BL01-0005. The work of the second author is supported by Fondation Sciences Mathématiques de Paris (FSMP), RIKEN Special Postdoctoral Researchers (SPDR) Program, RIKEN Interdisciplinary Theoretical and Mathematical Sciences Program (iTHEMS), and JSPS KAKENHI Grant (19K23413).

References

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