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The Ceresa period from tropical homology
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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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Cited by 1 Pith paper
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Tropical Abel-Jacobi theory
A functorial Abel-Jacobi map is constructed for all compact tropical varieties, and the tropical Ceresa class of a curve is computed explicitly from the graph and edge lengths.
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