Finite generation conjectures for cohomology over finite fields

Published 29 Mar 2011 in math.KT and math.NT | (1103.5544v1)

Abstract: 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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Thomas H Geisser

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