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Le groupe de Chow d'une surface rationnelle sur un corps local

Published online by Cambridge University Press:  10 February 2005

Chandan Singh Dalawat
Chandan Singh Dalawat
Affiliation:
Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, Allahabad 211 019, Indiadalawat@mri.ernet.in
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Abstract

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We compute the Chow group of 0-cycles on a rational surface defined over a finite extension K of the field $\mathbb{Q}_p$ of p-adic numbers (p a prime) when it is split by an unramified extension of K. We use intersection theory to define a specialisation map so we need to assume that the surface admits a regular proper integral model. A family of examples is worked out to illustrate the method.

Keywords

Chow groupsrational surfaceslocal fields11G25 (primary)14C1514G2014J26 (secondary)
Type
Research Article
Information
Compositio Mathematica , Volume 141 , Issue 2 , March 2005 , pp. 344 - 358
Copyright
Foundation Compositio Mathematica 2005