3 papers
math.AG2026
Continuity of the tropical Prym-Torelli map
Giusi Capobianco
We give a new intrinsic construction of the continuous tropical Prym variety, originally due to Röhrle and Zakahrov. In particular, given a harmonic double cover of graphs we expli…
math.CO2025
A tropical version of Martens' theorem for metric graphs
Giusi Capobianco, Angelina Zheng
We study the conjecture stated by Jensen and Len on a tropical version on Martens' theorem via the Brill--Noether rank of a tropical curve. We recall Coppens' counterexample of Mar…
math.AG2025
The tropical Abel--Prym map
Giusi Capobianco, Yoav Len
We prove that the tropical Abel--Prym map associated with a free double cover of hyperelliptic metric…