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K-groups of reciprocity functors for and abelian varieties

Published online by Cambridge University Press:  10 October 2014

Kay Rülling  and
Takao Yamazaki
Kay Rülling
Affiliation:
Freie Universität Berlin, Arnimallee 3, 14195 Berlin, Germany, kay.ruelling@fu-berlin.de
Takao Yamazaki
Affiliation:
Mathematical Institute, Tohoku University, Aoba, Sendai 980-8578, Japan, ytakao@math.tohoku.ac.jp
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Abstract

We prove that the K-group of reciprocity functors, defined by F. Ivorra and the first author, vanishes over a perfect field as soon as one of the reciprocity functors is and one is an abelian variety.

Keywords

Reciprocity functorChow groupK-group19E1514F4219D4519F15
Type
Research Article
Information
Journal of K-Theory , Volume 14 , Issue 3 , December 2014 , pp. 556 - 569
Copyright
Copyright © ISOPP 2014 

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