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math.AG2011
On the crystalline period map
Alexander Beilinson
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…
math.AG2011
p-adic periods and derived de Rham cohomology
Alexander Beilinson
We construct p-adic period map using derived de Rham cohomology of Illusie and give a simple proof of Fontaine's C_{dR} conjecture.