JuAe Song

activity

20182022

most citedGalois quotients of metric graphs and invariant linear systems

2 citations · 3 across the 3 of their papers we have counts for

collaborators

5 papers

math.AC2022★ 1 cited

Galois actions for semifield extensions and Galois coverings on tropical curves

JuAe Song

For a semifield extension $T / S$ , an action of a finite group $G$ on $T$ is Galois if $(1)$ the $G$ -invariant subsemifield of $T$ is $S$ and $(2)$ subgroups of $G$ whose invariant…

math.AG2022

Galois correspondence for Galois coverings on tropical curves

JuAe Song

We define Galois coverings on tropical curves for which a Galois correspondence and a universal mapping property hold.

math.CO2021

Upper bounds of orders of automorphism groups of leafless metric graphs

Yusuke Nakamura, JuAe Song

We prove a tropical analogue of the theorem of Hurwitz: a leafless metric graph of genus $g \geq 2$ has at most $12$ automorphisms when $g = 2$ ; $2^{g} g!$ automorphisms when $g \ge 3…

math.AG2019★ 2 cited

Galois quotients of metric graphs and invariant linear systems

JuAe Song

For a map $φ : Γ \to Γ^{'}$ between metric graphs and an isometric action on $Γ$ by finite group $K$ , $φ$ is a $K$ -Galois covering on $\varGamma…

math.AG2018

Generators of invariant linear system on tropical curves for finite isometry group

JuAe Song

For a tropical curve and a finite subgroup of the isometry group of the tropical curve, we prove, extending the work by Haase, Musiker and Yu, that the invariant part of the comple…