Representations attached to vector bundles on curves over finite and p-adic fields, a comparison

Mathematics – Algebraic Geometry

Scientific paper

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Scientific paper

For a vector bundle E on a model of a smooth projective curve over a p-adic
number field a p-adic representation of the geometric fundamental group of X
has been defined in work with Annette Werner if the reduction of E is strongly
semistable of degree zero. In the present note we calculate the reduction of
this representation using the theory of Nori's fundamental group scheme.

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