Deformation theory of periodic Higgs-de Rham flows
Algebraic Geometry
2020-05-05 v1
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 \emph{ordinarity} condition, which provides a sufficient condition for a -torsion crystalline representation to deform to a -torsion crystalline representation.
Keywords
Cite
@article{arxiv.2005.00579,
title = {Deformation theory of periodic Higgs-de Rham flows},
author = {Raju Krishnamoorthy and Jinbang Yang and Kang Zuo},
journal= {arXiv preprint arXiv:2005.00579},
year = {2020}
}
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32 pages