Remarks on methods of Fontaine and Faltings
Number Theory
2007-05-23 v1
Abstract
In this note we prove the non existence of certain irreducible two dimensional representations of the the absolute Galois group. Such results are predicted by Serre's conjecture and we use Fontaine's methods to verify these predictions in a small number of cases. We also use a methods of Faltings to study certain finiteness conjectures for Galois representations. Key words: Serre's conjecture, Fontaine-Mazur conjectures, Galois representations.
Keywords
Cite
@article{arxiv.math/9901158,
title = {Remarks on methods of Fontaine and Faltings},
author = {Kirti Joshi},
journal= {arXiv preprint arXiv:math/9901158},
year = {2007}
}