Translator Disclaimer
2020 Nisnevich topology with modulus
Hiroyasu Miyazaki
Ann. K-Theory 5(3): 581-604 (2020). DOI: 10.2140/akt.2020.5.581

Abstract

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

Citation

Download Citation

Hiroyasu Miyazaki. "Nisnevich topology with modulus." Ann. K-Theory 5 (3) 581 - 604, 2020. https://doi.org/10.2140/akt.2020.5.581

Information

Received: 25 November 2019; Revised: 31 March 2020; Accepted: 20 April 2020; Published: 2020
First available in Project Euclid: 11 August 2020

zbMATH: 07237242
MathSciNet: MR4132747
Digital Object Identifier: 10.2140/akt.2020.5.581

Subjects:
Primary: 14F20
Secondary: 14C25 , 18F10 , 19E15

Keywords: cd-structure , modulus pairs , motives with modulus , Nisnevich topology

Rights: Copyright © 2020 Mathematical Sciences Publishers

JOURNAL ARTICLE
24 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.5 • No. 3 • 2020
MSP
Back to Top