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An Abel-Jacobi theorem for metrized complexes of Riemann surfaces

Published 7 Aug 2024 in math.AG | (2408.03851v2)

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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