On the crystalline period map
Algebraic Geometry
2013-02-22 v4 K-Theory and Homology
Number Theory
Abstract
The paper contains a proof of the Fontaine-Jannsen conjecture based on a crystalline version of the p-adic Poincar'e lemma (different proofs were found earlier by Faltings, Niziol and Tsuji).
Cite
@article{arxiv.1111.3316,
title = {On the crystalline period map},
author = {Alexander Beilinson},
journal= {arXiv preprint arXiv:1111.3316},
year = {2013}
}
Comments
38 pages. The previous version of the paper will appear in March 2013 issue of Cambridge Journal of Mathematics. In present version the exposition of Hyodo-Kato theory (sect. 1.15-1.16) is simplified