---
_id: '66315'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title>\r\n               <jats:p>Motivated by
    the recent surge of interest in the geometry of hybrid spaces, we prove an Abel–Jacobi
    theorem for a metrized complex of Riemann surfaces, generalizing both the classical
    Abel–Jacobi theorem and its tropical analogue.</jats:p>"
author:
- first_name: Maximilian C. E.
  full_name: Hofmann, Maximilian C. E.
  last_name: Hofmann
- first_name: Martin
  full_name: Ulirsch, Martin
  id: '114697'
  last_name: Ulirsch
citation:
  ama: Hofmann MCE, Ulirsch M. An Abel-Jacobi theorem for metrized complexes of Riemann
    surfaces. <i>Advances in Geometry</i>. 2025;25(2):263-278. doi:<a href="https://doi.org/10.1515/advgeom-2025-0010">10.1515/advgeom-2025-0010</a>
  apa: Hofmann, M. C. E., &#38; Ulirsch, M. (2025). An Abel-Jacobi theorem for metrized
    complexes of Riemann surfaces. <i>Advances in Geometry</i>, <i>25</i>(2), 263–278.
    <a href="https://doi.org/10.1515/advgeom-2025-0010">https://doi.org/10.1515/advgeom-2025-0010</a>
  bibtex: '@article{Hofmann_Ulirsch_2025, title={An Abel-Jacobi theorem for metrized
    complexes of Riemann surfaces}, volume={25}, DOI={<a href="https://doi.org/10.1515/advgeom-2025-0010">10.1515/advgeom-2025-0010</a>},
    number={2}, journal={Advances in Geometry}, publisher={Walter de Gruyter GmbH},
    author={Hofmann, Maximilian C. E. and Ulirsch, Martin}, year={2025}, pages={263–278}
    }'
  chicago: 'Hofmann, Maximilian C. E., and Martin Ulirsch. “An Abel-Jacobi Theorem
    for Metrized Complexes of Riemann Surfaces.” <i>Advances in Geometry</i> 25, no.
    2 (2025): 263–78. <a href="https://doi.org/10.1515/advgeom-2025-0010">https://doi.org/10.1515/advgeom-2025-0010</a>.'
  ieee: 'M. C. E. Hofmann and M. Ulirsch, “An Abel-Jacobi theorem for metrized complexes
    of Riemann surfaces,” <i>Advances in Geometry</i>, vol. 25, no. 2, pp. 263–278,
    2025, doi: <a href="https://doi.org/10.1515/advgeom-2025-0010">10.1515/advgeom-2025-0010</a>.'
  mla: Hofmann, Maximilian C. E., and Martin Ulirsch. “An Abel-Jacobi Theorem for
    Metrized Complexes of Riemann Surfaces.” <i>Advances in Geometry</i>, vol. 25,
    no. 2, Walter de Gruyter GmbH, 2025, pp. 263–78, doi:<a href="https://doi.org/10.1515/advgeom-2025-0010">10.1515/advgeom-2025-0010</a>.
  short: M.C.E. Hofmann, M. Ulirsch, Advances in Geometry 25 (2025) 263–278.
date_created: 2026-07-08T06:41:22Z
date_updated: 2026-07-09T06:42:28Z
doi: 10.1515/advgeom-2025-0010
intvolume: '        25'
issue: '2'
language:
- iso: eng
page: 263-278
publication: Advances in Geometry
publication_identifier:
  issn:
  - 1615-7168
  - 1615-715X
publication_status: published
publisher: Walter de Gruyter GmbH
status: public
title: An Abel-Jacobi theorem for metrized complexes of Riemann surfaces
type: journal_article
user_id: '82981'
volume: 25
year: '2025'
...