A Note on Potential Diagonalizability of Crystalline Representations
Number Theory
2014-10-14 v2
Abstract
Let K_0 be a finite unramified extension of Q_p. We show that all crystalline representations of G_{K_0} (the absolute Galois group of K_0) with Hodge-Tate weights in {0, ..., p-1} are potentially diagonalizable.
Cite
@article{arxiv.1204.4704,
title = {A Note on Potential Diagonalizability of Crystalline Representations},
author = {Hui Gao and Tong Liu},
journal= {arXiv preprint arXiv:1204.4704},
year = {2014}
}
Comments
Final version. To appear in Mathematische Annalen