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

Ahmed Abbes (1) , Michel Gros (2)

1 IHES - Institut des Hautes Études Scientifiques
2 IRMAR - Institut de Recherche Mathématique de Rennes

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.

Domaines: Géométrie algébrique [math.AG]; Théorie des nombres [math.NT]

Ahmed Abbes, Michel Gros. Sur la correspondance de Simpson p-adique. I : étude locale. 2011. ⟨hal-00601445⟩