Let E, K be a finite extensions of Q_p and V a finite dimensional E vector space which is also a potentially semistable G_K module (that is, V is semistable over a finite extension of K). Let K' be the maxl unrammified extension of K. The period ring D_{pst}(V) is taken to be the direct limit of the semistable period rings of all finite extensions of K is a G_K module and has dimension dim_{Q_p} V as a K' vector space. As an R=K'\otimes_{Q_p} E module it turns out that D_{pst}(V) is free, the heuristic being that the frobenius is a bijection on the potentially semistable period ring, I'm not sure how to finish the argument.
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