The Ceresa period from tropical homology

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 $L_3$.

References in corpus (2)

• The Ceresa class: tropical, topological, and algebraic
• The Ceresa class and tropical curves of hyperelliptic type

Cited by in corpus (1)

• Algebraic Lagrangian cobordisms, flux and the Lagrangian Ceresa cycle