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math.AG2021
Rational function semifields of tropical curves are finitely generated over the tropical semifield
JuAe Song
We prove that the rational function semifield of a tropical curve is finitely generated as a semifield over the tropical semifield $\boldsymbol{T} := ( \boldsymbol{R} \cup \{ - \in…
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 has at most automorphisms when ; automorphisms when $g \ge 3…