When is M_0,n(ℙ¹,1) a Mori dream space?

2020/01/15 by Claudio Fontanari, Fontanari, Claudio
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2001.05554

openalex publication_date 2020/01/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that the moduli space of n-pointed stable maps M_0,n(ℙ¹,1) is a Mori dream space whenever the moduli space M_0,n+3 of (n+3)-pointed rational curves is. We also show that M_0,n(ℙ¹,1) is a log Fano variety for n ≤ 5.

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