On the crystalline period map
arXiv:1111.3316
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).
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