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The universal family of semi-stable p-adic Galois representations

Urs Hartl, Eugen Hellmann
published 2014-02-12

Let K be a finite field extension of Q_p and let G_K be its absolute Galois group. We construct the universal family of semi-stable G_K-representations in Q_p-algebras and the moduli space of such representations. It is an Artin stack in adic spaces locally of finite type over Q_p in the sense of Huber.

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