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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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On the Weil-étale cohomology of number fields
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by Baptiste Morin PDF
Trans. Amer. Math. Soc. 363 (2011), 4877-4927 Request permission

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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Additional Information
  • Baptiste Morin
  • Affiliation: Department of Mathematics, California Institute of Technology, 1200 E. California Boulevard, Pasadena, California 91125
  • Received by editor(s): February 25, 2009
  • Received by editor(s) in revised form: January 6, 2010
  • Published electronically: April 14, 2011
  • © Copyright 2011 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 363 (2011), 4877-4927
  • MSC (2000): Primary 14F20; Secondary 14G10
  • DOI: https://doi.org/10.1090/S0002-9947-2011-05124-X
  • MathSciNet review: 2806695