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Ramification and moduli spaces of finite flat models. (Ramification et espaces des modules des modèles plats finis.) (English. French summary) Zbl 1279.11112

Summary: We determine the type of the zeta functions and the range of the dimensions of the moduli spaces of finite flat models of two-dimensional local Galois representations over finite fields. This gives a generalization of Raynaud’s theorem on the uniqueness of finite flat models in low ramifications.

MSC:

11S37 Langlands-Weil conjectures, nonabelian class field theory
11F80 Galois representations
14L15 Group schemes
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References:

[1] Imai, Naoki, On the connected components of moduli spaces of finite flat models, Amer. J. of Math., 132, 5, 1189-1204 (2010) · Zbl 1205.14025 · doi:10.1353/ajm.2010.0006
[2] Kisin, Mark, Moduli of finite flat group schemes, and modularity, Ann. of Math. (2), 170, 3, 1085-1180 (2009) · Zbl 1201.14034 · doi:10.4007/annals.2009.170.1085
[3] Raynaud, Michel, Schémas en groupes de type \((p,\dots , p)\), Bull. Soc. Math. France, 102, 241-280 (1974) · Zbl 0325.14020
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