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Milnor K-Groups and Zero-Cycles on Products of Curves over p-Adic Fields

Published online by Cambridge University Press:  04 December 2007

Wayne Raskind  and
Michael Spiess
Wayne Raskind
Affiliation:
Department of Mathematics, University of Southern California, Los Angeles, CA 90089-1113, U.S.A. and Mathematisches Institut der Universität, ImNeuenheimer Feld 288, D-69120 Heidelberg, Germany
Michael Spiess
Affiliation:
Department of Mathematics, University of Southern California, Los Angeles, CA 90089-1113, U.S.A. and Mathematisches Institut der Universität, ImNeuenheimer Feld 288, D-69120 Heidelberg, Germany
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Abstract

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We investigate the Chow groups of zero cycles of products of curves over a p-adic field by means of the Milnor K-groups of their Jacobians as introduced by Somekawa. We prove some finiteness results for CH0(X)/m for X a product of curves over a p-adic field.

Keywords

Chow groupsMilnor K-groupsp-adic fields
Type
Research Article
Information
Compositio Mathematica , Volume 121 , Issue 1 , March 2000 , pp. 1 - 34
Copyright
© 2000 Kluwer Academic Publishers