Higher $l$-adic Abel-Jacobi mappings and filtrations on Chow groups
Abstract
Description
We 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. Journal
33 pages, Latex. To appear in Duke Math. Journal