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arXiv · 2405.07402

The Ceresa period from tropical homology

Caelan Ritter
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Abstract

Given a finite graph $G$, we define the Ceresa period $\alpha(G)$ as a tool for studying algebraic triviality of the tropical Ceresa cycle introduced by Zharkov. We show that $\alpha(G) = 0$ if and only if $G$ is of hyperelliptic type; then a theorem of Corey implies that having $\alpha(G) = 0$ is a minor-closed condition with forbidden minors $K_4$ and $L_3$.

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Caelan Ritter. 2024-05-13. The Ceresa period from tropical homology. https://doi.org/10.1017/fms.2025.10071

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