Universal families of rational tropical curves

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.

24 pages, 3 figures Second version: Generalisations and corrections (e.g. a general tropical fibre product) Third version: Minor changes and corrections (version as published in Canadian Journal of Mathematics)

References in corpus (4)

• The diagonal of tropical matroid varieties and cycle intersections
• A tropical intersection product in matroidal fans
• Compactifications of subvarieties of tori
• Cocycles on tropical varieties via piecewise polynomials

Cited by in corpus (4)

• A moduli stack of tropical curves
• Chow Rings of Heavy/Light Hassett Spaces via Tropical Geometry
• Tropical $\psi$ classes
• Cocycles on tropical varieties via piecewise polynomials