On Tannaka duality for vector bundles on p-adic curves

Abstract

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.

References in corpus (1)

• The action of the Frobenius map on rank 2 vector bundles over a supersingular genus 2 curve in characteristic 2