Swan conductors for p-adic differential modules, II: Global variation
Number Theory
2008-11-24 v3 Algebraic Geometry
Abstract
Using a local construction from a previous paper, we exhibit a numerical invariant, the differential Swan conductor, for an isocrystal on a variety over a perfect field of positive characteristic overconvergent along a boundary divisor; this leads to an analogous construction for certain p-adic and l-adic representations of the etale fundamental group of a variety. We then demonstrate some variational properties of this definition for overconvergent isocrystals, paying special attention to the case of surfaces.
Cite
@article{arxiv.0705.0031,
title = {Swan conductors for p-adic differential modules, II: Global variation},
author = {Kiran S. Kedlaya},
journal= {arXiv preprint arXiv:0705.0031},
year = {2008}
}