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Homogeneous p-adic vector bundles on abelian varieties that are analytic tori

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We are investigating homogeneous p-adic vector bundles on abelian varieties that are analytic tori. We show that for each homogeneous vector bundle on such a variety there exists an integer N > 0, such that the pullback of this vector bundle via the N-multiplication is attached to an integral representation of the topological fundamental group.

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Correspondence to Thomas Ludsteck.

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Received: 8 July 2008

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Ludsteck, T. Homogeneous p-adic vector bundles on abelian varieties that are analytic tori. Arch. Math. 92, 585–592 (2009). https://doi.org/10.1007/s00013-009-2932-9

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  • DOI: https://doi.org/10.1007/s00013-009-2932-9

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