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The arithmetic of the Chow group of zero-cycles. (L’arithmétique du groupe de Chow des zéro-cycles.) (French) Zbl 0870.14002
This article is a comprehensive survey dealing mainly with $$A_0(X)$$, the group of zero cycles of degree zero on a smooth projective variety $$X$$ modulo rational equivalence. $$X$$ is defined over a number field or a local field. The theme of the survey is a pair of conjectures in the first section relating the quotient of $$A_0(X)$$ by its maximal divisible subgroup to the Brauer group of $$X$$.

##### MSC:
 14C25 Algebraic cycles 14C05 Parametrization (Chow and Hilbert schemes) 14F22 Brauer groups of schemes
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