On the Weil-étale cohomology of number fields
Copyright policy ) Morin, Baptiste;
On the Weil-étale cohomology of number fields
We give a direct description of the category of sheaves on Lichtenbaum's Weil-\'etale site of a number ring. Then we apply this result to define a spectral sequence relating Weil-\'etale cohomology to Artin-Verdier \'etale cohomology. Finally we construct complexes of \'etale sheaves computing the expected Weil-\'etale cohomology.
Comment: 50 pages. To appear in Trans. Amer. Math. Soc
- California Institute of Technology United States
Dedekind zeta function, Mathematics - Number Theory, topos, Weil-étale cohomology, Étale cohomology, 510
Dedekind zeta function, Mathematics - Number Theory, topos, Weil-étale cohomology, Étale cohomology, 510
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