On the Weil-étale cohomology of number fields

Baptiste Morin

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arXiv · 1006.0521

On the Weil-étale cohomology of number fields

Baptiste Morin

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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.

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Baptiste Morin. 2010-06-02. On the Weil-étale cohomology of number fields. https://arxiv.org/abs/1006.0521

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