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<titleInfo><title>An Abel-Jacobi theorem for metrized complexes of Riemann surfaces</title></titleInfo>





<name type="personal">
  <namePart type="given">Maximilian C. E.</namePart>
  <namePart type="family">Hofmann</namePart>
  <role><roleTerm type="text">author</roleTerm> </role></name>
<name type="personal">
  <namePart type="given">Martin</namePart>
  <namePart type="family">Ulirsch</namePart>
  <role><roleTerm type="text">author</roleTerm> </role><identifier type="local">114697</identifier></name>














<abstract lang="eng">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.</abstract>

<originInfo><dateIssued encoding="w3cdtf">2024</dateIssued>
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<relatedItem type="host"><titleInfo><title>arXiv:2408.03851</title></titleInfo>
  <identifier type="arXiv">2408.03851</identifier>
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<bibliographicCitation>
<mla>Hofmann, Maximilian C. E., and Martin Ulirsch. “An Abel-Jacobi Theorem for Metrized Complexes of Riemann Surfaces.” &lt;i&gt;ArXiv:2408.03851&lt;/i&gt;, 2024.</mla>
<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} }</bibtex>
<ama>Hofmann MCE, Ulirsch M. An Abel-Jacobi theorem for metrized complexes of Riemann surfaces. &lt;i&gt;arXiv:240803851&lt;/i&gt;. Published online 2024.</ama>
<ieee>M. C. E. Hofmann and M. Ulirsch, “An Abel-Jacobi theorem for metrized complexes of Riemann surfaces,” &lt;i&gt;arXiv:2408.03851&lt;/i&gt;. 2024.</ieee>
<apa>Hofmann, M. C. E., &amp;#38; Ulirsch, M. (2024). An Abel-Jacobi theorem for metrized complexes of Riemann surfaces. In &lt;i&gt;arXiv:2408.03851&lt;/i&gt;.</apa>
<chicago>Hofmann, Maximilian C. E., and Martin Ulirsch. “An Abel-Jacobi Theorem for Metrized Complexes of Riemann Surfaces.” &lt;i&gt;ArXiv:2408.03851&lt;/i&gt;, 2024.</chicago>
<short>M.C.E. Hofmann, M. Ulirsch, ArXiv:2408.03851 (2024).</short>
</bibliographicCitation>
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