Sch\'emas en groupes et poids de Diamond-Serre
Number Theory
2007-05-23 v1 Representation Theory
Abstract
This note is a correction of (statement and proof of) proposition 3.3.1 of Toby Gee's preprint intitled *On the weights of mod p Hilbert modular forms*. The aim is to compare Galois representations arising from extensions of some group schemes (over the ring of integers of a p-adic field) endowed with a descent data, and extensions of some crystalline representations with given Hodge-Tate weights. The main tool of the proof is the theory of Breuil.
Cite
@article{arxiv.0705.1213,
title = {Sch\'emas en groupes et poids de Diamond-Serre},
author = {Xavier Caruso},
journal= {arXiv preprint arXiv:0705.1213},
year = {2007}
}