{"date_updated":"2026-07-08T06:41:28Z","status":"public","year":"2024","title":"An Abel-Jacobi theorem for metrized complexes of Riemann surfaces","author":[{"full_name":"Hofmann, Maximilian C. E.","first_name":"Maximilian C. E.","last_name":"Hofmann"},{"first_name":"Martin","last_name":"Ulirsch","full_name":"Ulirsch, Martin","id":"114697"}],"user_id":"82981","_id":"66315","language":[{"iso":"eng"}],"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."}],"publication":"arXiv:2408.03851","citation":{"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} }","ama":"Hofmann MCE, Ulirsch M. An Abel-Jacobi theorem for metrized complexes of Riemann surfaces. arXiv:240803851. Published online 2024.","mla":"Hofmann, Maximilian C. E., and Martin Ulirsch. “An Abel-Jacobi Theorem for Metrized Complexes of Riemann Surfaces.” ArXiv:2408.03851, 2024.","chicago":"Hofmann, Maximilian C. E., and Martin Ulirsch. “An Abel-Jacobi Theorem for Metrized Complexes of Riemann Surfaces.” ArXiv:2408.03851, 2024.","short":"M.C.E. Hofmann, M. Ulirsch, ArXiv:2408.03851 (2024).","ieee":"M. C. E. Hofmann and M. Ulirsch, “An Abel-Jacobi theorem for metrized complexes of Riemann surfaces,” arXiv:2408.03851. 2024.","apa":"Hofmann, M. C. E., & Ulirsch, M. (2024). An Abel-Jacobi theorem for metrized complexes of Riemann surfaces. In arXiv:2408.03851."},"type":"preprint","external_id":{"arxiv":["2408.03851"]},"date_created":"2026-07-08T06:41:22Z"}