Deformation theory of periodic Higgs-de Rham flows

2020/05/01 by Raju Krishnamoorthy, Jinbang Yang, Krishnamoorthy, Raju +3 · 2 citations
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.2005.00579

openalex publication_date 2020/05/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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