Generic fiber functor from dual representable log p-divisible groups over henselian DVR S to semistable p-divisible groups over K is an equivalence, extending to semistable Galois Z_p-reps with HT weights {0,1} when residue field perfect and mixed char.
Fontaine , Sur certains types de repr´ esentations p-adiques du groupe de Galois d’un corps local; Construction d’un anneau de Barsotti-Tate , Ann
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Log $p$-divisible groups and semi-stable representations
Generic fiber functor from dual representable log p-divisible groups over henselian DVR S to semistable p-divisible groups over K is an equivalence, extending to semistable Galois Z_p-reps with HT weights {0,1} when residue field perfect and mixed char.