DENINGER'S CONJECTURES AND WEIL-ARAKELOV COHOMOLOGY
DENINGER'S CONJECTURES AND WEIL-ARAKELOV COHOMOLOGY
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 …