Sur la correspondance de Simpson p-adique. 0 : une vue d'ensemble

2013/01/08 by Ahmed Abbes, Abbes, Ahmed, M. Gros +1
Mathematics · #Algebraic Geometry and Number Theory #advanced mathematical theories #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.1301.1443

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. The aim of this article is to give an extensive overview of the theory that has been developped in two articles, the first one (arXiv:1102.5466) devoted to the local aspects and the second one (arXiv:1301.0904) to the global aspects.

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