---
_id: '66317'
abstract:
- lang: eng
  text: '<jats:p>In this article we provide a stack-theoretic framework to study the
    universal tropical Jacobian over the moduli space of tropical curves. We develop
    two approaches to the process of tropicalization of the universal compactified
    Jacobian over the moduli space of curves -- one from a logarithmic and the other
    from a non-Archimedean analytic point of view. The central result from both points
    of view is that the tropicalization of the universal compactified Jacobian is
    the universal tropical Jacobian and that the tropicalization maps in each of the
    two contexts are compatible with the tautological morphisms. In a sequel we will
    use the techniques developed here to provide explicit polyhedral models for the
    logarithmic Picard variety.</jats:p><jats:p>Comment: 51 pages, 2 figures, v3:
    published version</jats:p>'
article_number: '8352'
author:
- first_name: Margarida
  full_name: Melo, Margarida
  last_name: Melo
- first_name: Samouil
  full_name: Molcho, Samouil
  last_name: Molcho
- first_name: Martin
  full_name: Ulirsch, Martin
  id: '114697'
  last_name: Ulirsch
- first_name: Filippo
  full_name: Viviani, Filippo
  last_name: Viviani
citation:
  ama: Melo M, Molcho S, Ulirsch M, Viviani F. Tropicalization of the universal Jacobian.
    <i>Épijournal de Géométrie Algébrique</i>. 2022;Volume 6. doi:<a href="https://doi.org/doi.org/10.46298/epiga.2022.8352">doi.org/10.46298/epiga.2022.8352</a>
  apa: Melo, M., Molcho, S., Ulirsch, M., &#38; Viviani, F. (2022). Tropicalization
    of the universal Jacobian. <i>Épijournal de Géométrie Algébrique</i>, <i>Volume
    6</i>, Article 8352. <a href="https://doi.org/doi.org/10.46298/epiga.2022.8352">https://doi.org/doi.org/10.46298/epiga.2022.8352</a>
  bibtex: '@article{Melo_Molcho_Ulirsch_Viviani_2022, title={Tropicalization of the
    universal Jacobian}, volume={Volume 6}, DOI={<a href="https://doi.org/doi.org/10.46298/epiga.2022.8352">doi.org/10.46298/epiga.2022.8352</a>},
    number={8352}, journal={Épijournal de Géométrie Algébrique}, publisher={Centre
    pour la Communication Scientifique Directe (CCSD)}, author={Melo, Margarida and
    Molcho, Samouil and Ulirsch, Martin and Viviani, Filippo}, year={2022} }'
  chicago: Melo, Margarida, Samouil Molcho, Martin Ulirsch, and Filippo Viviani. “Tropicalization
    of the Universal Jacobian.” <i>Épijournal de Géométrie Algébrique</i> Volume 6
    (2022). <a href="https://doi.org/doi.org/10.46298/epiga.2022.8352">https://doi.org/doi.org/10.46298/epiga.2022.8352</a>.
  ieee: 'M. Melo, S. Molcho, M. Ulirsch, and F. Viviani, “Tropicalization of the universal
    Jacobian,” <i>Épijournal de Géométrie Algébrique</i>, vol. Volume 6, Art. no.
    8352, 2022, doi: <a href="https://doi.org/doi.org/10.46298/epiga.2022.8352">doi.org/10.46298/epiga.2022.8352</a>.'
  mla: Melo, Margarida, et al. “Tropicalization of the Universal Jacobian.” <i>Épijournal
    de Géométrie Algébrique</i>, vol. Volume 6, 8352, Centre pour la Communication
    Scientifique Directe (CCSD), 2022, doi:<a href="https://doi.org/doi.org/10.46298/epiga.2022.8352">doi.org/10.46298/epiga.2022.8352</a>.
  short: M. Melo, S. Molcho, M. Ulirsch, F. Viviani, Épijournal de Géométrie Algébrique
    Volume 6 (2022).
date_created: 2026-07-08T06:44:47Z
date_updated: 2026-07-09T07:08:32Z
doi: doi.org/10.46298/epiga.2022.8352
language:
- iso: eng
publication: Épijournal de Géométrie Algébrique
publication_identifier:
  issn:
  - 2491-6765
publication_status: published
publisher: Centre pour la Communication Scientifique Directe (CCSD)
status: public
title: Tropicalization of the universal Jacobian
type: journal_article
user_id: '82981'
volume: Volume 6
year: '2022'
...