@article{66309,
abstract = {{Abstract
Let
$A$
be an abelian variety with totally degenerate reduction over a non-Archimedean field. We describe the moduli space of semi-homogeneous vector bundles on
$A$
from the perspective of non-Archimedean uniformization and show that the essential skeleton may be identified with a tropical analogue of this moduli space. For
$H=0$
our moduli space may be identified with the moduli space
$M_{0,r}(A)$
of semi-stable vector bundles with vanishing Chern classes on
$A$
. In this case we construct a surjective analytic morphism from the character variety of the analytic fundamental group of
$A$
onto
$M_{0,r}(A)$
, which naturally tropicalizes. One may view this construction as a non-Archimedean uniformization of
$M_{0,r}(A)$
.
}},
author = {{Gross, Andreas and Kaur, Inder and Ulirsch, Martin and Werner, Annette}},
issn = {{2949-7647}},
journal = {{Moduli}},
publisher = {{Cambridge University Press (CUP)}},
title = {{{Semi-homogeneous vector bundles on abelian varieties: moduli spaces and their tropicalization}}},
doi = {{10.1017/S2949764726100228}},
volume = {{3}},
year = {{2026}},
}