Nisnevich topology with modulus
Algebraic Geometry
2020-07-29 v3
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.
Keywords
Cite
@article{arxiv.1910.14579,
title = {Nisnevich topology with modulus},
author = {Hiroyasu Miyazaki},
journal= {arXiv preprint arXiv:1910.14579},
year = {2020}
}
Comments
27 pages, some typos corrected, to appear in Annals of K-theory