Nonabelian Hodge Theory in Characteristic p

Arthur Ogus; Vadim Vologodsky

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Nonabelian Hodge Theory in Characteristic p

Arthur Ogus·Vadim Vologodsky

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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.

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Arthur Ogus, Vadim Vologodsky. 2007-07-29. Nonabelian Hodge Theory in Characteristic p. https://arxiv.org/abs/math/0507476

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