2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/135122Given a scheme in characteristic p together with a lifting modulo p^2, we construct a functor from a category of suitably nilpotent modules with connection to the category of Higgs modules. We use this functor to generalize the decomposition theorem of Deligne-Illusie to the case of de Rham cohomology with coefficients.Revised version. Chapter 3 is almost completely newAlgebraic Geometry14F30text