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arXiv · 2304.03508

$\boldsymbol{T}$-algebra homomorphisms between rational function semifields of tropical curves

JuAe Song
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Abstract

We prove that an injective $\boldsymbol{T}$-algebra homomorphism between the rational function semifields of two tropical curves induces a surjective morphism between those tropical curves, where $\boldsymbol{T}$ is the tropical semifield $(\boldsymbol{R} \cup \{ -\infty \}, \operatorname{max}, +)$.

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JuAe Song. 2023-04-07. $\boldsymbol{T}$-algebra homomorphisms between rational function semifields of tropical curves. https://arxiv.org/abs/2304.03508

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