@article{66309,
  abstract     = {{Let $A$ be an abelian variety with totally degenerate reduction over a non-Archimedean field. We describe the moduli space of semihomogeneous 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 semistable 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}},
  journal      = {{arXiv:2312.12980}},
  title        = {{{Semi-homogeneous vector bundles on abelian varieties: moduli spaces and their tropicalization}}},
  doi          = {{10.1017/S2949764726100228}},
  year         = {{2023}},
}