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Moduli spaces of rational tropical curves

2007/04/06 by Grigory Mikhalkin, Mikhalkin, Grigory
Computer Science · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #Commutative Algebra and Its Applications #FOS: Mathematics #Geometric Topology (math.GT) #Polynomial and algebraic computation #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.0704.0839

openalex publication_date 2007/04/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 ψ-class divisors.

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