On Tannaka duality for vector bundles on p-adic curves

Details On Tannaka duality for vector bundles on p-adic curves On Tannaka duality for vector bundles on p-adic curves

2005-06-14

arxiv.org/abs/math/0506263v1

Mathematics

Algebraic Geometry

Scientific paper

We prove that a category of degree zero vector bundles with "potentially
strongly semistable reduction" on a p-adic curve is a neutral Tannakian
category. We also make a first study of the corresponding affine group scheme.
In particular, we determine its group of connected components using a theorem
of Weil.

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