On the Weil-\'etale cohomology of number fields
classification
🧮 math.NT
keywords
etalecohomologyweil-numbersheavesapplyartin-verdiercategory
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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.
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