An Abel-Jacobi theorem for metrized complexes of Riemann surfaces
Algebraic Geometry
2025-02-18 v2
Abstract
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.
Keywords
Cite
@article{arxiv.2408.03851,
title = {An Abel-Jacobi theorem for metrized complexes of Riemann surfaces},
author = {Maximilian C. E. Hofmann and Martin Ulirsch},
journal= {arXiv preprint arXiv:2408.03851},
year = {2025}
}
Comments
19 pages, 3 figures, v2, to appear in Advances in Geometry, comments still very welcome!