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Abstract
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The moving lemma of Suslin (also known as the generic equidimensionality theorem) states
that a cycle on
meeting all faces properly can be moved so that it becomes equidimensional over
. 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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Keywords
Chow group, modulus, moving lemma
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Mathematical Subject Classification 2010
Primary: 14C25
Secondary: 19E15
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Milestones
Received: 19 April 2016
Revised: 31 October 2016
Accepted: 7 March 2017
Published: 7 September 2017
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