On the Weil-étale cohomology of number fields

Abstract

We give a direct description of the category of sheaves on Lichtenbaum's Weil-étale site of a number ring. Then we apply this result to define a spectral sequence relating Weil-étale cohomology to Artin-Verdier étale cohomology. Finally we construct complexes of étale sheaves computing the expected Weil-étale cohomology.

50 pages. To appear in Trans. Amer. Math. Soc

References in corpus (1)

• The Weil-Etale Topology for Number Rings