Representations attached to vector bundles on curves over finite and p-adic fields, a comparison
classification
🧮 math.AG
math.NT
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p-adicfundamentalgroupreductionrepresentationvectorannetteattached
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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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