Universal families of rational tropical curves

TL;DR

This paper develops a framework for families of rational tropical curves over tropical varieties, establishing a correspondence with morphisms into the tropical moduli space, advancing the understanding of tropical geometry structures.

Contribution

It introduces the concept of families of n-marked smooth rational tropical curves and links them to morphisms into the tropical moduli space, providing a new structural insight.

Findings

Established a one-to-one correspondence between families and morphisms

Defined families of rational tropical curves over tropical varieties

Connected tropical curve families with moduli space morphisms

Abstract

We introduce the notion of families of n-marked smooth rational tropical curves over smooth tropical varieties and establish a one-to-one correspondence between (equivalence classes of) these families and morphisms from smooth tropical varieties into the moduli space of n-marked abstract rational tropical curves.