On crystabelline deformation rings of Gal(Q¯p/Qp) (with an appendix by Jack Shotton)

We prove that certain crystabelline deformation rings of two dimensional residual representations of Gal ( Q ¯ p / Q p ) are Cohen–Macaulay. As a consequence, this allows to improve Kisin’s R [ 1 / p ] = T [ 1 / p ] theorem to an R = T theorem.

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Bibliographic Details
Published in:Mathematische annalen 2019-02, Vol.373 (1-2), p.421-487
Main Authors: Hu, Yongquan, Paškūnas, Vytautas
Format: Article
Language:English
Subjects:
Deformation
Mathematics
Mathematics and Statistics
Theorems
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Description
Summary:We prove that certain crystabelline deformation rings of two dimensional residual representations of Gal ( Q ¯ p / Q p ) are Cohen–Macaulay. As a consequence, this allows to improve Kisin’s R [ 1 / p ] = T [ 1 / p ] theorem to an R = T theorem.
ISSN:0025-5831
1432-1807
DOI:10.1007/s00208-018-1671-2