On moduli spaces of roots in algebraic and tropical geometry
Algebraic Geometry
2022-08-10 v2
Abstract
In this paper we construct a tropical moduli space parametrizing roots of divisors on tropical curves. We study the relation between this space and the skeleton of Jarvis moduli space of nets of limit roots on stable curves. We show that the combinatorics of the moduli space of tropical roots is governed by the poset of flows, a poset parametrizing certain flows on graphs.
Keywords
Cite
@article{arxiv.2204.13471,
title = {On moduli spaces of roots in algebraic and tropical geometry},
author = {Alex Abreu and Marco Pacini and Matheus Secco},
journal= {arXiv preprint arXiv:2204.13471},
year = {2022}
}
Comments
23 pages