Triangulation of refined families

Details Triangulation of refined families Triangulation of refined families

2012-02-10

arxiv.org/abs/1202.2188v2

Mathematics

Number Theory

A full version of the global triangulation conjecture is proved; title is changed; Comments are welcome

Scientific paper

We prove the global triangulation conjecture that a family of refined p-adic
representations admits a global triangulation in a scheme-theoretically dense
subset of the base which contains all regular noncritical points. We also prove
that any p-adic representation appeared in refined families is trianguline.

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