Article Dans Une Revue Münster Journal of Mathematics Année : 2020

DENINGER'S CONJECTURES AND WEIL-ARAKELOV COHOMOLOGY

Résumé

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.

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hal-02407608 , version 1 (12-12-2019)

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M Flach, Baptiste Morin. DENINGER'S CONJECTURES AND WEIL-ARAKELOV COHOMOLOGY. Münster Journal of Mathematics, 2020, 13 (2), pp.519-540. ⟨10.17879/90169642993⟩. ⟨hal-02407608⟩
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