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arXiv · 2608.21625

Continuity of the tropical Prym-Torelli map

Giusi Capobianco
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Abstract

We give a new intrinsic construction of the continuous tropical Prym variety, originally due to R\"ohrle and Zakahrov. In particular, given a harmonic double cover of graphs we explicitly construct the tropical Prym as integral torus. Moreover, we show that the tropical Prym--Torelli map from the moduli space of harmonic double covers to the moduli space of principally polarised tropical abelian varieties is continuous.

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Giusi Capobianco. 2026-08-21. Continuity of the tropical Prym-Torelli map. https://arxiv.org/abs/2608.21625

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