Crystalline extensions and the weight part of Serre's conjecture
Number Theory
2011-06-29 v1
Abstract
Let p>2 be prime. We complete the proof of the weight part of Serre's conjecture for rank two unitary groups for mod p representations in the totally ramified case, by proving that any weight which occurs is a predicted weight. Our methods are a mixture of local and global techniques, and in the course of the proof we establish some purely local results on crystalline extension classes.
Keywords
Cite
@article{arxiv.1106.5584,
title = {Crystalline extensions and the weight part of Serre's conjecture},
author = {Toby Gee and Tong Liu and David Savitt},
journal= {arXiv preprint arXiv:1106.5584},
year = {2011}
}
Comments
17 pages