Small resolutions of moduli spaces of scaled curves

2022/08/07 by Zahariuc, Adrian
#05B35 #14E15 #14H10 #14N20 #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2208.03721

Abstract

We construct small resolutions of the moduli space Q_n of stable scaled n-marked lines of Ziltener and Ma'u--Woodward and of the moduli space P_n of stable n-marked \mathbb G_a-rational trees introduced in earlier work. The resolution of P_n is the augmented wonderful variety corresponding to the graphic matroid of the complete graph. The resolution of Q_n is a further blowup, also a wonderful model of an arrangement in \mathbb P^n-1.

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• Linear growth and moduli spaces of rational curves
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