TY - JOUR AB - 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. AU - Flach, Matthias AU - Morin, Baptiste DA - 2020 DO - 10.17879/90169642993 LA - eng IS - Münster Journal of Mathematics M2 - 519 PY - 2020 SP - 519-540 T2 - Münster Journal of Mathematics TI - Deninger’s conjectures and Weil–Arakelov cohomology UR - https://nbn-resolving.org/urn:nbn:de:hbz:6-90169643343 Y2 - 2024-12-27T09:39:58 ER -