Sur la correspondance de Simpson p-adique. I : étude locale

2011/02/27 by Ahmed Abbes, Abbes, Ahmed, M. Gros +1
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1102.5466

openalex publication_date 2011/02/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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