Constructing semisimple p-adic Galois representations with prescribed properties
Number Theory
2007-05-23 v1
Abstract
In this paper we show that two dimensional (mod p) Galois representations satisfying mild hypotheses can be lifted to p-adic Galois representations ramified at infinitely many primes such that the characteristic polynomials of Frobenius at a density one set of unramified primes are defined over the rational integers. In particular we show that often one can "density one compatibly" lift mod p and mod q Galois representations.
Cite
@article{arxiv.math/0309283,
title = {Constructing semisimple p-adic Galois representations with prescribed properties},
author = {Chandrashekhar Khare and Michael Larsen and Ravi Ramakrishna},
journal= {arXiv preprint arXiv:math/0309283},
year = {2007}
}
Comments
32 pages