An Abel–Jacobi theorem for metrized complexes of Riemann surfaces

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.

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Publication Details

Journal
Advances in Geometry
Published
2025-04-01
DOI
https://doi.org/10.1515/advgeom-2025-0010
Primary Topic
Algebraic Geometry and Number Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

An Abel–Jacobi theorem for metrized complexes of Riemann surfaces

Martin Ulirsch, Martin Hofmann
Advances in Geometry
Algebraic Geometry and Number Theory
article

An Abel–Jacobi theorem for metrized complexes of Riemann surfaces

Martin Ulirsch, Martin Hofmann
article en

Abstract

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.

Advances in GeometryVol. 25(2)
Goethe University Frankfurt (DE), Stony Brook University (US)
Reduced inequalities
Openalex Percentile: Top 84%
Algebraic Geometry and Number Theory
DOISourceOpenAlex
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An Abel–Jacobi theorem for metrized complexes of Riemann surfaces — Martin Ulirsch, Martin Hofmann · Advances in Geometry (2025) | TGRS Research Map | TGRS