---
_id: '66315'
abstract:
- lang: eng
  text: 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.
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>arXiv:240803851</i>. Published online 2024.
  apa: Hofmann, M. C. E., &#38; Ulirsch, M. (2024). An Abel-Jacobi theorem for metrized
    complexes of Riemann surfaces. In <i>arXiv:2408.03851</i>.
  bibtex: '@article{Hofmann_Ulirsch_2024, title={An Abel-Jacobi theorem for metrized
    complexes of Riemann surfaces}, journal={arXiv:2408.03851}, author={Hofmann, Maximilian
    C. E. and Ulirsch, Martin}, year={2024} }'
  chicago: Hofmann, Maximilian C. E., and Martin Ulirsch. “An Abel-Jacobi Theorem
    for Metrized Complexes of Riemann Surfaces.” <i>ArXiv:2408.03851</i>, 2024.
  ieee: M. C. E. Hofmann and M. Ulirsch, “An Abel-Jacobi theorem for metrized complexes
    of Riemann surfaces,” <i>arXiv:2408.03851</i>. 2024.
  mla: Hofmann, Maximilian C. E., and Martin Ulirsch. “An Abel-Jacobi Theorem for
    Metrized Complexes of Riemann Surfaces.” <i>ArXiv:2408.03851</i>, 2024.
  short: M.C.E. Hofmann, M. Ulirsch, ArXiv:2408.03851 (2024).
date_created: 2026-07-08T06:41:22Z
date_updated: 2026-07-08T06:41:28Z
external_id:
  arxiv:
  - '2408.03851'
language:
- iso: eng
publication: arXiv:2408.03851
status: public
title: An Abel-Jacobi theorem for metrized complexes of Riemann surfaces
type: preprint
user_id: '82981'
year: '2024'
...