Mathematical Research Letters

Volume 19 (2012)

Number 3

On families of filtered (φ,N)-modules

Pages: 667 – 689



Bingyong Xie (Department of Mathematics, East China Normal University, Shanghai, China)


In this paper, as a generalization of Berger’s construction, we give a functor from the category of families of filtered (φ,N)-modules (with certain condition) to the category of families of (φ,Γ)-modules. Combining this with Kedlaya and Liu’s theorem we show that, when the base is a reduced affinoid space, every family of weakly admissible filtered (φ,N)-modules can locally be converted into a family of semistable Galois representations.


filtered (φ,N)-module, (φ,Γ)-module

2010 Mathematics Subject Classification


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