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

JuAe Song

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

Algebraic Geometry 2023-04-10 v1

Authors: JuAe Song

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 $(\boldsymbol{R} \cup \{ -\infty \}, \operatorname{max}, +)$ .

Keywords

tropical geometry

Cite

@article{arxiv.2304.03508,
  title  = {$\boldsymbol{T}$-algebra homomorphisms between rational function semifields of tropical curves},
  author = {JuAe Song},
  journal= {arXiv preprint arXiv:2304.03508},
  year   = {2023}
}

Comments

18 pages. arXiv admin note: text overlap with arXiv:2110.08091

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