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Commentarii Mathematici Helvetici

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Volume 91, Issue 4, 2016, pp. 721–749
DOI: 10.4171/CMH/401

Published online: 2016-10-24

Families of $p$-adic Galois representations and $(\phi, \Gamma)$-modules

Eugen Hellmann[1]

(1) Universit├Ąt Bonn, Germany

We investigate the relation between $p$-adic Galois representations and overconvergent $(\phi,\Gamma)$-modules in families. Especially we construct a natural open subspace of a family of $(\phi,\Gamma)$-modules, over which it is induced by a family of Galois-representations.

Keywords: $(\varphi,\Gamma)$-modules, $p$-adic Galois representations, families of Galois representations

Hellmann Eugen: Families of $p$-adic Galois representations and $(\phi, \Gamma)$-modules. Comment. Math. Helv. 91 (2016), 721-749. doi: 10.4171/CMH/401