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Relatively unramified elements in cycle modules

Published online by Cambridge University Press:  11 April 2011

Bruno Kahn
Bruno Kahn
Affiliation:
Institut de Mathématiques de Jussieu, UMR 7586, Case 247, 4 place Jussieu, 75252 Paris Cedex 05, France, [email protected]
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Abstract

In a recent paper, Merkurjev showed that for a smooth proper variety X over a field k, the functor M* ↦ A0(X, M0) from cycle modules to abelian groups is corepresented by a cycle module constructed on the Chow group of 0-cycles of X. We show that if “proper” is relaxed, the result still holds by replacing the Chow group of 0-cycles by the 0-th Suslin homology group of X.

Keywords

Cycle modulesunramified cohomologymotivic homology
Type
Research Article
Information
Journal of K-Theory , Volume 7 , Issue 3 , June 2011 , pp. 409 - 427
Copyright
Copyright © ISOPP 2011

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