Arthur Ogus, Vadim Vologodsky
Published 2005-07-22, updated 2007-07-29Version 2
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.
Comments: Revised version. Chapter 3 is almost completely new
A note on the characteristic $p$ nonabelian Hodge theory in the geometric case
Orthogonal bundles over curves in characteristic two
A characterization of toric varieties in characteristic p
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