Archiv der Mathematik

, Volume 93, Issue 4, pp 323–330 | Cite as

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

Article

Abstract

We investigate the temperate p-adic Riemann–Hilbert functor defined by André on abelian varieties that are analytic tori. We show that this functor induces an equivalence between the category of discrete and integral representation of the temperate fundamental group of the torus on finite dimensional \({{\mathbb C}_{p}}\) -vector spaces as well as the category of homogeneous p-adic vector bundles on the torus.

Mathematics Subject Classification (2000)

14G22 14K15 35Q15 11G25 

Keywords

p-adic parallel transport Abelian varieties Berkovich analytic space 

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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2009

Authors and Affiliations

  1. 1.Universität Stuttgart IAZStuttgartGermany

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