---
_id: '66309'
abstract:
- lang: eng
text: "Abstract\r\n \r\n Let\r\n
\ \r\n \r\n
\ \r\n $A$\r\n
\ \r\n \r\n
\ be an abelian variety with totally degenerate reduction over
a non-Archimedean field. We describe the moduli space of semi-homogeneous vector
bundles on\r\n \r\n \r\n
\ \r\n $A$\r\n
\ \r\n \r\n
\ 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\r\n \r\n \r\n
\ \r\n $H=0$\r\n
\ \r\n \r\n
\ our moduli space may be identified with the moduli space\r\n
\ \r\n \r\n
\ \r\n $M_{0,r}(A)$\r\n
\ \r\n \r\n
\ of semi-stable vector bundles with vanishing Chern classes
on\r\n \r\n \r\n
\ \r\n $A$\r\n
\ \r\n \r\n
\ . In this case we construct a surjective analytic morphism
from the character variety of the analytic fundamental group of\r\n \r\n
\ \r\n \r\n
\ $A$\r\n \r\n
\ \r\n onto\r\n \r\n
\ \r\n \r\n
\ $M_{0,r}(A)$\r\n \r\n
\ \r\n , which naturally
tropicalizes. One may view this construction as a non-Archimedean uniformization
of\r\n \r\n \r\n
\ \r\n $M_{0,r}(A)$\r\n
\ \r\n \r\n
\ .\r\n "
article_number: e8
author:
- first_name: Andreas
full_name: Gross, Andreas
last_name: Gross
- first_name: Inder
full_name: Kaur, Inder
last_name: Kaur
- first_name: Martin
full_name: Ulirsch, Martin
id: '114697'
last_name: Ulirsch
- first_name: Annette
full_name: Werner, Annette
last_name: Werner
citation:
ama: 'Gross A, Kaur I, Ulirsch M, Werner A. Semi-homogeneous vector bundles on abelian
varieties: moduli spaces and their tropicalization. Moduli. 2026;3. doi:10.1017/S2949764726100228'
apa: 'Gross, A., Kaur, I., Ulirsch, M., & Werner, A. (2026). Semi-homogeneous
vector bundles on abelian varieties: moduli spaces and their tropicalization.
Moduli, 3, Article e8. https://doi.org/10.1017/S2949764726100228'
bibtex: '@article{Gross_Kaur_Ulirsch_Werner_2026, title={Semi-homogeneous vector
bundles on abelian varieties: moduli spaces and their tropicalization}, volume={3},
DOI={10.1017/S2949764726100228},
number={e8}, journal={Moduli}, publisher={Cambridge University Press (CUP)}, author={Gross,
Andreas and Kaur, Inder and Ulirsch, Martin and Werner, Annette}, year={2026}
}'
chicago: 'Gross, Andreas, Inder Kaur, Martin Ulirsch, and Annette Werner. “Semi-Homogeneous
Vector Bundles on Abelian Varieties: Moduli Spaces and Their Tropicalization.”
Moduli 3 (2026). https://doi.org/10.1017/S2949764726100228.'
ieee: 'A. Gross, I. Kaur, M. Ulirsch, and A. Werner, “Semi-homogeneous vector bundles
on abelian varieties: moduli spaces and their tropicalization,” Moduli,
vol. 3, Art. no. e8, 2026, doi: 10.1017/S2949764726100228.'
mla: 'Gross, Andreas, et al. “Semi-Homogeneous Vector Bundles on Abelian Varieties:
Moduli Spaces and Their Tropicalization.” Moduli, vol. 3, e8, Cambridge
University Press (CUP), 2026, doi:10.1017/S2949764726100228.'
short: A. Gross, I. Kaur, M. Ulirsch, A. Werner, Moduli 3 (2026).
date_created: 2026-07-08T06:24:15Z
date_updated: 2026-07-09T07:05:30Z
doi: 10.1017/S2949764726100228
intvolume: ' 3'
language:
- iso: eng
publication: Moduli
publication_identifier:
issn:
- 2949-7647
- 2977-1382
publication_status: published
publisher: Cambridge University Press (CUP)
status: public
title: 'Semi-homogeneous vector bundles on abelian varieties: moduli spaces and their
tropicalization'
type: journal_article
user_id: '82981'
volume: 3
year: '2026'
...