On Families of (φ,Γ)-modules
نویسنده
چکیده
We prove that every family of (overconvergent) étale (φ,Γ)-modules over a reduced affinoid algebra can be locally converted to a family of p-adic representations uniquely.
منابع مشابه
Slope Filtrations in Families
In [1], Berger and Colmez introduced a theory of families of étale (φ,Γ)-modules associated to families of p-adic Galois representations. Inspired by their works, we consider families of φ-modules over a reduced affinoid algebra where the base is fixed by Frobenius actions. We prove some results in this framework including the semicontinuity of variation of HN-polygons. These results will be ap...
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تاریخ انتشار 2009