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arXiv · 2405.14087

Finitely generated congruences on tropical rational function semifields

JuAe Song
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Abstract

We prove that the congruence on the tropical rational function semifield in $n$-variables associated with a subset $V$ of $\boldsymbol{R}^n$ is finitely generated if and only if the closure of $V$ is a finite union of $\boldsymbol{R}$-rational polyhedral sets. With this fact, we characterize rational function semifields of tropical curves.

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JuAe Song. 2024-05-23. Finitely generated congruences on tropical rational function semifields. https://arxiv.org/abs/2405.14087

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