Higher $l$-adic Abel-Jacobi mappings and filtrations on Chow groups

Details Higher $l$-adic Abel-Jacobi mappings and filtrations on Chow groups Higher $l$-adic Abel-Jacobi mappings and filtrations on Chow groups

1994-12-02

arxiv.org/abs/alg-geom/9412001v1

Mathematics

Algebraic Geometry

33 pages, Latex. To appear in Duke Math. Journal

Scientific paper

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.

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