4 papers
Trigonal and embedded tropical curves of low genus
Hannah Markwig, Angelina Zheng
In algebraic geometry, trigonal curves can always be embedded into Hirzebruch surfaces. In tropical geometry, the notion of trigonality does not have a unique translation. We focus…
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…
Tropical trigonal curves: the general case
Margarida Melo, Angelina Zheng
This paper is a follow-up of a previous work in which we show that, for a -edge connected tropical curve , the existence of a divisor of degree and Baker-Norine rank at l…
Tropical trigonal curves
Margarida Melo, Angelina Zheng
We prove that the existence of a divisor of degree and Baker-Norine rank at least on a -edge connected tropical curve is equivalent to the existence of a non-degenerate…