Nonabelian Hodge Theory in Characteristic p

Details Nonabelian Hodge Theory in Characteristic p Nonabelian Hodge Theory in Characteristic p

2005-07-22

arxiv.org/abs/math/0507476v2

Mathematics

Algebraic Geometry

Revised version. Chapter 3 is almost completely new

Scientific paper

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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