English

On Tannaka duality for vector bundles on p-adic curves

Algebraic Geometry 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0506263,
  title  = {On Tannaka duality for vector bundles on p-adic curves},
  author = {C. Deninger and A. Werner},
  journal= {arXiv preprint arXiv:math/0506263},
  year   = {2007}
}
R2 v1 2026-07-22T17:20:40.870Z