Log algebraic hyperbolicity of M_0,n

2025/11/07 by Wang, Jiahe
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals

paper · doi:10.48550/arxiv.2511.04889

openalex publication_date 2025/11/07 · openalex created_date 2025/11/11 · openalex updated_date 2026/07/28

Abstract

We show that the moduli space of stable n-pointed rational curves M_0,n with its boundary Δ is algebraically hyperbolic.

Citations

• The algebraic Green-Griffiths-Lang conjecture for complements of very general pairs of divisors
• Viehweg's hyperbolicity conjecture for families with maximal variation
• On the logarithmic Kobayashi conjecture
• Moduli spaces of weighted pointed stable curves
• On Algebraic Hyperbolicity of Log Varieties
• On Algebraic Hyperbolicity of Log Surfaces
• On the isotriviality of families of projective manifolds over curves

Related

• Remarks on two problems by Hassett
• Log canonical models for the moduli space of pointed stable rational curves
• Simplicial equations for the moduli space of stable rational curves
• Mori's program for the moduli space of pointed stable rational curves
• On Log Canonical Models of the Moduli Space of Stable Pointed Curves