2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/149962We define a filtration on the Chow groups of a smooth projective variety X over a field k by using the cycle map into continuous l-adic etale cohomology. The main theorem says that if k is a function field in one variable over a finite field, this filtration for zero cycles is of length at most one modulo the kernel of the cycle map.33 pages, Latex. To appear in Duke Math. JournalAlgebraic Geometrytext