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On reduction maps for the étale and Quillen K-theory of curves and applications

Published online by Cambridge University Press:  11 January 2008

Stefan Barańczuk  and
Krzysztof Górnisiewicz
Stefan Barańczuk
Affiliation:
stefbar@amu.edu.plFaculty of Mathematics and Computer ScienceAdam Mickiewicz UniversityPoznańPoland
Krzysztof Górnisiewicz
Affiliation:
krisgorn@amu.edu.plFaculty of Mathematics and Computer ScienceAdam Mickiewicz UniversityPoznańPoland
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Abstract

In this paper we consider reduction of nontorsion elements in the étale and Quillen K-theory of a curve X over a number field. As an application we solve two problems: detecting linear dependence and the support problem.

Keywords

Galois cohomologyl-adic representationétale K-theory of curvesQuillen K-theory of curves
Type
Research Article
Information
Journal of K-Theory , Volume 2 , Issue 1 , August 2008 , pp. 103 - 122
Copyright
Copyright © ISOPP 2008

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