Sen理论在半稳定表示情形下的推广
Generalization of the theory of Sen in the semi-stable representation case
摘要：
对于半稳定表示V，我们构造C_p \otimes_{Q_p} V的子空间D_{π-Sen}（V），赋予它一个线性导子\nabla^{(π)} . \nabla^{(π)}对D_{π-Sen}（V）的作用与单值算子N对D_{st}（V）的作用密切相关。此外，在几何情形下，\nabla^{(π)}对D_{π-Sen}的作用（V）描述了Hodge结构的无穷小变化的类比，并满足类似于Griffiths横截性和局部单值定理的公式.
英文摘要：
For a semi-stable representation V, we will construct a subspace D_{π-Sen}(V) of C_p\otimes_{Q_p}V endowed with a linear derivation \nabla^{(π)}. The action of \nabla^{(π)} on D_{π-Sen}(V) is closely related to the action of the monodromy operator N on D_{st}(V). Furthermore, in the geometric case, the action of \nabla^{(π)} on D_{π-Sen}(V) describes an analogy of the infinitesimal variations of Hodge structures and satisfies formulae similar to the Griffiths transversality and the local monodromy theorem.
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