# Nonabelian Hodge Theory in Characteristic p

Research paper by Arthur Ogus, Vadim Vologodsky

Indexed on: 29 Jul '07Published on: 29 Jul '07Published in: Mathematics - Algebraic Geometry

#### Abstract

Given 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.