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2018 Suslin's moving lemma with modulus
Wataru Kai, Hiroyasu Miyazaki
Ann. K-Theory 3(1): 55-70 (2018). DOI: 10.2140/akt.2018.3.55

Abstract

The moving lemma of Suslin (also known as the generic equidimensionality theorem) states that a cycle on X×An meeting all faces properly can be moved so that it becomes equidimensional over An. This leads to an isomorphism of motivic Borel–Moore homology and higher Chow groups.

In this short paper we formulate and prove a variant of this. It leads to a modulus version of the isomorphism, in an appropriate pro setting.

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Wataru Kai. Hiroyasu Miyazaki. "Suslin's moving lemma with modulus." Ann. K-Theory 3 (1) 55 - 70, 2018. https://doi.org/10.2140/akt.2018.3.55

Information

Received: 19 April 2016; Revised: 31 October 2016; Accepted: 7 March 2017; Published: 2018
First available in Project Euclid: 20 December 2017

zbMATH: 06775611
MathSciNet: MR3695364
Digital Object Identifier: 10.2140/akt.2018.3.55

Subjects:
Primary: 14C25
Secondary: 19E15

Keywords: Chow group , modulus , moving lemma

Rights: Copyright © 2018 Mathematical Sciences Publishers

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Vol.3 • No. 1 • 2018
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