$p$-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
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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 Fontaineâs C$_{\text {dR}}$ conjecture.References
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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.
- © 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
Dedicated: To Irene