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Journal of the American Mathematical Society

Published by the American Mathematical Society, the Journal of the American Mathematical Society (JAMS) is devoted to research articles of the highest quality in all areas of mathematics.

ISSN 1088-6834 (online) ISSN 0894-0347 (print)

The 2024 MCQ for Journal of the American Mathematical Society is 4.83.

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$p$-adic periods and derived de Rham cohomology
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by A. Beilinson;
J. Amer. Math. Soc. 25 (2012), 715-738
DOI: https://doi.org/10.1090/S0894-0347-2012-00729-2
Published electronically: January 27, 2012

Abstract:

We show that derived de Rham cohomology of Illusie satisfies the $p$-adic PoincarĂ© lemma in h-topology. This yields a new construction of the $p$-adic period map and a simple proof of Fontaine’s C$_{\text {dR}}$ conjecture.
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Bibliographic Information
  • A. Beilinson
  • Affiliation: Department of Mathematics, University of Chicago, Chicago, Illinois 60637
  • MR Author ID: 33735
  • Email: sasha@math.uchicago.edu
  • Received by editor(s): February 22, 2011
  • Received by editor(s) in revised form: November 16, 2011, and January 5, 2012
  • Published electronically: January 27, 2012
  • Additional Notes: The author was supported in part by NSF grant DMS-1001660.

  • Dedicated: To Irene
  • © Copyright 2012 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: J. Amer. Math. Soc. 25 (2012), 715-738
  • MSC (2010): Primary 14F30, 14F40; Secondary 14F20
  • DOI: https://doi.org/10.1090/S0894-0347-2012-00729-2
  • MathSciNet review: 2904571