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Suslin's moving lemma
with modulus
Wataru Kai and Hiroyasu Miyazaki |
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Vol. 3 (2018), No. 1, 55–70
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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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Authors |
| Wataru Kai | |
| Fakultät für Mathematik Universität Duisburg-Essen D-45127 Essen Germany |
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| Hiroyasu Miyazaki | |
| Graduate School of Mathematical
Sciences University of Tokyo Tokyo 153-8914 Japan |
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