Deformation theory of periodic Higgs-de Rham flows
Abstract
In this note we study the deformation theory of periodic (logarithmic) Higgs-de Rham flows. Under suitable numerical assumptions, this is equivalent to the deformation theory of torsion (logarithmic) Fontaine-Faltings modules. As an application, we formulate an ordinarity condition, which provides a sufficient condition for a pn-torsion crystalline representation to deform to a pn+1-torsion crystalline representation.
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