On F - Crystalline Representations
نویسنده
چکیده
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 |GK∞ is fully-faithfull on the category of F -crystalline 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.
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تاریخ انتشار 2016