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arxiv: 0704.0839 · v1 · submitted 2007-04-06 · 🧮 math.AG · math.CO· math.GT· math.SG

Moduli spaces of rational tropical curves

Grigory Mikhalkin This is my paper
classification 🧮 math.AG math.COmath.GTmath.SG
keywords tropicalcurvesmodulirationalspacespacesclasscompactification
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This note is devoted to the definition of moduli spaces of rational tropical curves with n marked points. We show that this space has a structure of a smooth tropical variety of dimension n-3. We define the Deligne-Mumford compactification of this space and tropical $\psi$-class divisors.

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  1. The Tropical Moduli Space of Degree-3 Rational Maps

    math.AG 2026-05 unverdicted novelty 7.0

    The authors classify all degree-3 tropical rational maps into exactly ten combinatorial types and build a polyhedral model of their moduli space parametrized by gap lengths between breakpoints.