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  - 2024-11-22T00:53:01
ER  -