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Tropical Moduli Space of Rational Graphically Stable Curves

2019/10/01 by Andy Fry, Fry, Andy · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Combinatorics (math.CO) #FOS: Mathematics #Nonlinear Waves and Solitons #Polynomial and algebraic computation #math.AG #math.CO

paper · pdf · doi:10.48550/arxiv.1910.00627

arxiv created 2019/10/01 · openalex publication_date 2019/10/01 · arxiv updated 2019/10/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study moduli spaces of rational graphically stable tropical curves and a refinement given by radial alignment. Given a complete multipartite graph Γ, the moduli space of radially aligned Γ-stable tropical curves can be given the structure of a balanced fan. This fan structure coincides with the Bergman fan of the cycle matroid of Γ.

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