Sur la correspondance de Simpson p-adique. I : \'etude locale
Algebraic Geometry
2015-03-23 v3 Number Theory
Abstract
We develop a new approach for the p-adic Simpson correspondence, closely related to the original approach of Faltings, but also inspired by the work of Ogus and Vologodsky on an analogue in characteristic p>0. This first article is devoted to the local aspects of the theory.
Cite
@article{arxiv.1102.5466,
title = {Sur la correspondance de Simpson p-adique. I : \'etude locale},
author = {Ahmed Abbes and Michel Gros},
journal= {arXiv preprint arXiv:1102.5466},
year = {2015}
}
Comments
in French; an English version will appear in a volume of Annals of Mathematics Studies (PUP) edited by A. Abbes, M. Gros and T. Tsuji