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arXiv · 1202.2188

Triangulation of refined families

Ruochuan Liu
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Abstract

We prove the global triangulation conjecture for families of refined p-adic representations under a mild condition. That is, for a refined family, the associated family of (phi, Gamma)-modules admits a global triangulation on a Zariski open and dense subspace of the base that contains all regular non-critical points. We also determine a large class of points which belongs to the locus of global triangulation. Furthermore, we prove that all the specializations of a refined family are trianguline. In the case of the Coleman-Mazur eigencurve, our results provide the key ingredient for showing its properness in a subsequent work.

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Ruochuan Liu. 2012-02-10. Triangulation of refined families. https://arxiv.org/abs/1202.2188

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