FLACH, M; MORIN, Baptiste

doi:10.17879/90169642993

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FLACH, M
California Institute of Technology [CALTECH]

MORIN, Baptiste
Institut de Mathématiques de Bordeaux [IMB]

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Article de revue

Ce document a été publié dans

Münster Journal of Mathematics. 2020, vol. 13, n° 2, p. 519–540

Résumé en anglais

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-étale motivic cohomology groups are finitely generated. Then we explain the consequences that such an exact sequence would have.< Réduire