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- W1835696327 abstract "We construct and study the moduli of continuous representations of a profinite group with integral $p$-adic coefficients. We present this moduli space over the moduli space of continuous pseudorepresentations and show that this morphism is algebraizable. When this profinite group is the absolute Galois group of a $p$-adic local field, we show that these moduli spaces admit Zariski-closed loci cutting out Galois representations that are potentially semi-stable with bounded Hodge-Tate weights and a given Hodge and Galois type. As a consequence, we show that these loci descend to the universal deformation ring of the corresponding pseudorepresentation." @default.
- W1835696327 created "2016-06-24" @default.
- W1835696327 creator A5022525837 @default.
- W1835696327 date "2017-07-24" @default.
- W1835696327 modified "2023-10-16" @default.
- W1835696327 title "Algebraic families of Galois representations and potentially semi-stable pseudodeformation rings" @default.
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- W1835696327 doi "https://doi.org/10.1007/s00208-017-1557-8" @default.
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