We extend the theory of Kisin modules and crystalline representations to allow more general coefficient fields and lifts of Frobenius. In particular, for a finite and totally ramified extension F/Qp, and an arbitrary finite extension K/F, we construct a general class of infinite and totally wildly ramified extensions K∞/K so that the functor V 7 V =(pipe)GK∞ is fully-faithfull on the category of Fcrystalline representations V. We also establish a new classification of F-Barsotti-Tate groups via Kisin modules of height 1 which allows more general lifts of Frobenius.
|Original language||English (US)|
|Number of pages||48|
|State||Published - 2016|
- F-crystalline representations
- Kisin modules
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