On the Weil-\'etale cohomology of number fields
Number Theory
2010-06-04 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1006.0521,
title = {On the Weil-\'etale cohomology of number fields},
author = {Baptiste Morin},
journal= {arXiv preprint arXiv:1006.0521},
year = {2010}
}
Comments
50 pages. To appear in Trans. Amer. Math. Soc