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

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Compositio Mathematica

Abstract

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 CH 0(X)/m for X a product of curves over a p-adic field.

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Authors and Affiliations

  1. Department of Mathematics, University of Southern California, Los Angeles, CA, 90089-1113, U.S.A.

    Wayne Raskind & Michael Spiess

  2. Mathematisches Institut der Universität, ImNeuenheimer Feld 288, D-69120, Heidelberg, Germany

    Wayne Raskind & Michael Spiess

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  1. Wayne Raskind
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  2. Michael Spiess
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Raskind, W., Spiess, M. Milnor K-Groups and Zero-Cycles on Products of Curves over p-Adic Fields. Compositio Mathematica 121, 1–34 (2000). https://doi.org/10.1023/A:1001734817103

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