Log algebraic hyperbolicity of $\overline{M}_{0,n}$

TL;DR

This paper proves that the moduli space of stable n-pointed rational curves, along with its boundary, exhibits algebraic hyperbolicity, contributing to the understanding of its geometric properties.

Contribution

It establishes the algebraic hyperbolicity of ar{M}_{0,n} and its boundary, a new result in the study of moduli spaces.

Findings

ar{M}_{0,n} is algebraically hyperbolic

The boundary ar{M}_{0,n} is also algebraically hyperbolic

Provides new insights into the geometric structure of moduli spaces

Abstract

We show that the moduli space of stable n-pointed rational curves $\overline{M}_{0,n}$ with its boundary $\Delta$ is algebraically hyperbolic.