Reciprocity law for compatible systems of abelian mod $p$ Galois representations
Number Theory
2007-05-23 v1 Algebraic Geometry
Abstract
The main result of the paper is a reciprocity law which proves that compatible systems of semisimple, abelian mod representations (of arbitrary dimension) of absolute Galois groups of number fields, arise from Hecke characters. In the last section of the paper analogs for Galois groups of function fields of these results are explored, and a question is raised whose answer will require developments in transcendence theory in characteristic .
Keywords
Cite
@article{arxiv.math/0309292,
title = {Reciprocity law for compatible systems of abelian mod $p$ Galois representations},
author = {Chandrashekhar Khare},
journal= {arXiv preprint arXiv:math/0309292},
year = {2007}
}