Galois correspondence for Galois coverings on tropical curves

TL;DR

This paper introduces Galois coverings on tropical curves, establishing a Galois correspondence and a universal mapping property, thereby extending classical Galois theory concepts to tropical geometry.

Contribution

It defines Galois coverings on tropical curves and proves a Galois correspondence along with a universal property, advancing the theoretical framework of tropical geometry.

Findings

Established Galois correspondence for tropical curve coverings

Proved universal mapping property for Galois coverings

Extended classical Galois theory to tropical geometry

Abstract

We define Galois coverings on tropical curves for which a Galois correspondence and a universal mapping property hold.