Representations attached to vector bundles on curves over finite and p-adic fields, a comparison
Algebraic Geometry
2009-03-18 v1 Number Theory
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.
Keywords
Cite
@article{arxiv.0903.2961,
title = {Representations attached to vector bundles on curves over finite and p-adic fields, a comparison},
author = {C. Deninger},
journal= {arXiv preprint arXiv:0903.2961},
year = {2009}
}