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

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 redu...

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Bibliographic Details
Published in:arXiv.org 2009-03
Main Author: Deninger, C
Format: Article
Language:English
Subjects:
Number theory
Reduction
Representations
Online Access:Get full text
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Summary: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.
ISSN:2331-8422