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A. J. De Jong (1995)
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Teresa Monteiro Fernandes (1995)
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Arthur Ogus (1975)
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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.
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