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• W2964264900 abstract "We study potentially crystalline deformation rings for a residual, ordinary Galois representation ρ ¯:G Q p →GL 3 (F p ). We consider deformations with Hodge-Tate weights (0,1,2) and inertial type chosen to contain exactly one Fontaine-Laffaille modular weight for ρ ¯. We show that, in this setting, the potentially crystalline deformation space is formally smooth over Z p and any potentially crystalline lift is ordinary. The proof requires an understanding of the condition imposed by the monodromy operator on Breuil modules with descent datum, in particular, that this locus mod p is formally smooth." @default.
• W2964264900 created "2019-07-30" @default.
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• W2964264900 date "2016-01-01" @default.
• W2964264900 modified "2023-09-26" @default.
• W2964264900 title "Potentially crystalline deformation rings in the ordinary case" @default.
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• W2964264900 doi "https://doi.org/10.5802/aif.3053" @default.
• W2964264900 hasPublicationYear "2016" @default.
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