Tropical trigonal curves
Abstract
We prove that the existence of a divisor of degree 3 and Baker-Norine rank at least 1 on a 3 -edge connected tropical curve is equivalent to the existence of a non-degenerate harmonic morphism of degree 3 from a tropical modification of it to a tropical rational curve. Using the second description, we define the moduli spaces of 3 -edge connected tropical trigonal covers and of 3 -edge connected tropical trigonal curves, the latter as a locus in the moduli space of tropical curves. Finally, we prove that the moduli space of 3 -edge connected genus g tropical trigonal curves has the same dimension as the moduli space of genus g algebraic trigonal curves.
Fields of Study & Subjects
Polynomial and algebraic computation
Algebraic Geometry and Number Theory
Publication details
- Journal / source
- Algebraic Combinatorics
- Volume
- 9
- Issue
- 1
- Pages
- 95–130
- Publication date
- 3 March 2026
- Language
- EN