Sur la correspondance de Simpson p-adique. II : aspects globaux

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.

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