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arXiv · 1910.14579

Nisnevich topology with modulus

Hiroyasu Miyazaki
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Abstract

In Voevodsky's theory of motives, the Nisnevich topology on smooth schemes is used as an important building block. In this paper, we introduce a Grothendieck topology on proper modulus pairs, which will be used to construct a non-homotopy invariant generalization of motives. We also prove that the topology satisfies similar properties to the Nisnevich topology.

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Hiroyasu Miyazaki. 2019-10-31. Nisnevich topology with modulus. https://doi.org/10.2140/akt.2020.5.581

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