2011arXiv (Cornell University)Open access

Finite generation conjectures for cohomology over finite fields

Thomas Geisser

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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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What this paper is about

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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Available 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.

Key concepts: Motivic cohomology, Mathematics, Cohomology, Étale cohomology, Čech cohomology, Pure mathematics, Equivariant cohomology, De Rham cohomology

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