The arithmetic of the Chow group of zero-cycles
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 \(X\).
scientific article; zbMATH DE number 858014
scientific article