Local monodromy of p-adic differential equations: an overview
Number Theory
2007-05-23 v2 Algebraic Geometry
Abstract
This primarily expository article collects together some facts from the literature about the monodromy of differential equations on a p-adic (rigid analytic) annulus, though often with simpler proofs. These include Matsuda's classification of quasi-unipotent nabla-modules, the Christol-Mebkhout construction of the ramification filtration, and the Christol-Dwork Frobenius antecedent theorem. We also briefly discuss the p-adic local monodromy theorem without proof.
Cite
@article{arxiv.math/0501361,
title = {Local monodromy of p-adic differential equations: an overview},
author = {Kiran S. Kedlaya},
journal= {arXiv preprint arXiv:math/0501361},
year = {2007}
}
Comments
45 pages; v2: refereed version, minor corrections; to appear in International Journal of Number Theory