Groupe de Chow d'une surface rationnelle sur un corps local

Abstract

We determine the Chow group of zero-cycles on a rational surface X defined over a finite extension K of the field of p-adic numbers (p a prime) when X is split by an unramified extension of K.

20 pages ; v.2 added a remark about the ramified case of the example ; v. 3 minor clarifications, ref.to math.AG/0302260 added