Sur la correspondance de Simpson p-adique. II : aspects globaux
Algebraic Geometry
2015-09-14 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 second article is devoted to the global aspects of the theory.
Keywords
Cite
@article{arxiv.1301.0904,
title = {Sur la correspondance de Simpson p-adique. II : aspects globaux},
author = {Ahmed Abbes and Michel Gros},
journal= {arXiv preprint arXiv:1301.0904},
year = {2015}
}
Comments
in French ; an English version will appear in the volume 193 of Annals of Mathematics Studies (PUP) edited by A. Abbes, M. Gros and T. Tsuji; some minor modifications have been made following an improvement in arXiv:1107.2380