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Vector bundles and p-adic representations I

C. Deninger·A. Werner
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Abstract

We define and study a certain category of vector bundles on a p-adic curve to which we can associate in a functorial way finite dimensional p-adic representations of the geometric fundamental group. Among other things we investigate two different relations of these constructions with the Hodge-Tate decomposition.

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C. Deninger, A. Werner. 2003-09-17. Vector bundles and p-adic representations I. https://arxiv.org/abs/math/0309273

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