An expository account of the construction of the p-adic period rings B_crys and B_dR and of the comparison theorems between etale, crystalline, and de Rham cohomology for p-adic varieties.
Berger , ´Equations diff´ erentiellesp-adiques et (ϕ,N )-modules filtr´ es, Ast´ erisque319 (2008), 13–38
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An introduction to p-adic period rings
An expository account of the construction of the p-adic period rings B_crys and B_dR and of the comparison theorems between etale, crystalline, and de Rham cohomology for p-adic varieties.