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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
Abstract
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.
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- Research Article
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- Foundation Compositio Mathematica 2005
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