At the last of Fontaine’s rings and p-adic L-functions, P.Colmez states a Theorem8.4.8 click here of Faltings-Tusji-Saito without references. So I am wondering is there any references for this theorem (at least for part(i))?
For reference on a result on local Galois representation associated to classic modular form in p-adic Hodge theory
Bonbon
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