Exterior products of zero-cycles

Abstract

We study the exterior product on 0-cycles modulo rational equivalence. The main tools used are higher cycle- and Abel-Jacobi-classes developed in [J. Lewis, A filtration on the Chow groups of a complex projective variety, Compos. Math. 128 (2001), no. 3, 299–322.] and [M. Kerr, Higher Abel-Jacobi maps for 0-cycles, preprint, math.AG/0504086.]. The theorem of [A. Rosenschon and M. Saito, Cycle map for strictly decomposable cycles, Amer. J. Math. 125 (2003), no. 4, 773–790.] (applied to 0-cycles) appears as a special case of our results.