Finite generation conjectures for cohomology over finite fields

Mathematics – K-Theory and Homology

Scientific paper

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Scientific paper

We construct an intermediate cohmology between motivic cohomology and
Weil-etale cohomology. Using this, the Bass conjecture on finite generation of
motivic cohomology, and the Beilinson-Tate on the finite generation of
Weil-etale cohomology are related.

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