Published September 2011
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Journal Article
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On the Weil-étale cohomology of number fields
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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.
Additional Information
© 2011 American Mathematical Society. Reverts to public domain 28 years from publication Received by the editors February 25, 2009 and, in revised form, January 6, 2010. Article electronically published on April 14, 2011. The author is very grateful to Matthias Flach for his questions, comments and suggestions which led to a more complete and useful article.Attached Files
Published - Morin2011p15574T_Am_Math_Soc.pdf
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Morin2011p15574T_Am_Math_Soc.pdf
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- Eprint ID
- 25123
- Resolver ID
- CaltechAUTHORS:20110826-104810309
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2011-08-26Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field