Abstract
Suppose K is unramified over Qp and ΓK=Gal(K¯/K). Let H be a torsion ΓK-equivariant subquotient of crystalline Qp[ΓK]-module with HT weights from [0,p−2]. We give a new proof of Fontaine's conjecture about the triviality of action of some ramification subgroups ΓK(v) on H. The earlier author's proof from [1] contains a gap and proves this conjecture only for some subgroups of index p in ΓK(v).
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