Nonabelian Hodge Theory in Characteristic p

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.

Revised version. Chapter 3 is almost completely new

Cited by in corpus (5)

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• Good formal structure for meromorphic flat connections on smooth projective surfaces
• Logarithmic nonabelian Hodge theory in characteristic p
• Nonabelian Hodge theory in positive characterstic via exponential twisting
• On the L2-Hodge theory of Landau-Ginzburg models