On the Chow Rings of the Moduli Spaces $\mathcal{M}_{5,8}$ and $\mathcal{M}_{5,9}$

Yuhan Liu

公開日: 2025/9/3

Abstract

In this paper we prove that the rational Chow rings of $\mathcal{M}_{5,8}$ and $\mathcal{M}_{5,9}$ are tautological, and that these moduli spaces have the Chow K\"unneth generation Property.