Canonical liftings of jacobians
Nonabelian Hodge theory in characteristic
Given a scheme in characteristic together with a lifting modulo , 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.
F-Isocrystales and De Rham Cohomology. I.
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