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arXiv · math/0506263

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.

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C. Deninger, A. Werner. 2005-06-14. On Tannaka duality for vector bundles on p-adic curves. https://arxiv.org/abs/math/0506263

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