Imai, Naoki Ramification and moduli spaces of finite flat models. (Ramification et espaces des modules des modèles plats finis.) (English. French summary) Zbl 1279.11112 Ann. Inst. Fourier 61, No. 5, 1943-1975 (2011). 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. Cited in 5 Documents MSC: 11S37 Langlands-Weil conjectures, nonabelian class field theory 11F80 Galois representations 14L15 Group schemes Keywords:group scheme; moduli space; \(p\)-adic field PDFBibTeX XMLCite \textit{N. Imai}, Ann. Inst. Fourier 61, No. 5, 1943--1975 (2011; Zbl 1279.11112) Full Text: DOI arXiv EuDML 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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.