Vol. 5, No. 3, 2020

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Nisnevich topology with modulus

Hiroyasu Miyazaki

Vol. 5 (2020), No. 3, 581–604
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.

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Keywords
Nisnevich topology, cd-structure, modulus pairs, motives with modulus
Mathematical Subject Classification 2010
Primary: 14F20
Secondary: 14C25, 18F10, 19E15
Milestones
Received: 25 November 2019
Revised: 31 March 2020
Accepted: 20 April 2020
Published: 28 July 2020
Authors
Hiroyasu Miyazaki
iTHEMS
RIKEN
Hirosawa, Wako
Saitama
Japan