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Nonabelian Hodge theory in characteristic p

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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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Authors and Affiliations

  1. Department of Mathematics, University of California at Berkeley, Berkeley, CA, 94720-3840, USA

    A. Ogus

  2. Department of Mathematics, University of Chicago, Chicago, IL, 60637, USA

    V. Vologodsky

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  1. A. Ogus
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  2. V. Vologodsky
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Correspondence to A. Ogus.

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Ogus, A., Vologodsky, V. Nonabelian Hodge theory in characteristic p . Publ.math.IHES 106, 1–138 (2007). https://doi.org/10.1007/s10240-007-0010-z

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  • DOI: https://doi.org/10.1007/s10240-007-0010-z

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