SU\G(𝔸)/K·U

DENINGER'S CONJECTURES AND WEIL-ARAKELOV COHOMOLOGY

Matthias Flach, Baptiste Morin

Type: Preprint

Publication Date: 2020-01-01

Citations: 5

DOI: https://doi.org/10.17879/90169642993

Abstract

We conjecture the existence of a long exact sequence relating Deninger's conjectural cohomology to Weil-Arakelov cohomology, the latter being unconditionally defined. We prove this conjecture for smooth projective varieties over finite fields whose Weil-etale motivic cohomology groups are finitely generated. Then we explain the consequences that such an exact sequence would have.

Locations

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