论文标题
周期性higgs-de rham流的变形理论
Deformation theory of periodic Higgs-de Rham flows
论文作者
论文摘要
在本说明中，我们研究了周期性（对数）higgs-de rham流的变形理论。在合适的数值假设下，这等同于扭转变形理论（对数）fontaine-Fontaine-Faltings模块。作为一个应用程序，我们制定了\ emph {orph {orpherity}条件，该条件为$ p^n $ - torsion晶体表示形式提供了足够的条件，以变形为$ p^{n+1} $ - 扭转结晶表示。
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 $p^n$-torsion crystalline representation to deform to a $p^{n+1}$-torsion crystalline representation.
