Nonabelian Hodge theory in characteristic \(p\)

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Publication:926550

DOI10.1007/S10240-007-0010-ZzbMATH Open1140.14007arXivmath/0507476OpenAlexW2094512026MaRDI QIDQ926550

Author name not available (Why is that?)

Publication date: 20 May 2008

Published in: (Search for Journal in Brave)

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.


Full work available at URL: https://arxiv.org/abs/math/0507476



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