Shotton, Jack (2022) 'Generic local deformation rings when l≠p.', Compositio Mathematica, 158 (4). pp. 721-749.
Abstract
We determine the local deformation rings of sufficiently generic mod l representations of the Galois group of a p-adic field, when l≠p, relating them to the space of q-power-stable semisimple conjugacy classes in the dual group. As a consequence, we give a local proof of the l≠p Breuil–Mézard conjecture of the author, in the tame case.
| Item Type: | Article |
|---|---|
| Full text: | (VoR) Version of Record Available under License - Creative Commons Attribution 4.0. Download PDF (729Kb) |
| Status: | Peer-reviewed |
| Publisher Web site: | https://doi.org/10.1112/S0010437X22007461 |
| Publisher statement: | This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original article is properly cited. Compositio Mathematica is © Foundation Compositio Mathematica. |
| Date accepted: | 18 November 2021 |
| Date deposited: | 26 July 2022 |
| Date of first online publication: | 03 June 2022 |
| Date first made open access: | 26 July 2022 |
Save or Share this output
| Export: | |
| Look up in GoogleScholar |
