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math.AG2026

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…

math.AG2025

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…

math.AG2025

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…