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

2009/03/17 by C. Deninger, Deninger, C.
Mathematics · #11G20 #14H30 #14H60 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT) #math.AG #math.NT #msc:11G20 #msc:14H30 #msc:14H60

paper · pdf · doi:10.48550/arxiv.0903.2961

arxiv created 2009/03/17 · arxiv updated 2009/12/01

Abstract

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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