论文标题
$ a_r $ - 稳定曲线和$ \ edline {\ mathcal {m}} _ 3 $
$A_r$-stable curves and the Chow ring of $\overline{\mathcal{M}}_3$
论文作者
论文摘要
In this work, we introduce the moduli stack $\widetilde{\mathcal{M}}_{g,n}^r$ of $n$-pointed, $A_r$-stable curves of genus $g$ and use it to compute the Chow ring of $\overline{\mathcal{M}}_3$.作为副产品，我们还计算了$ \ widetilde {\ mathcal {m}} _ 3^7 $的盘子环。所有的盘环都假定为$ \ mathbb {z} [1/6] $中的系数。
In this work, we introduce the moduli stack $\widetilde{\mathcal{M}}_{g,n}^r$ of $n$-pointed, $A_r$-stable curves of genus $g$ and use it to compute the Chow ring of $\overline{\mathcal{M}}_3$. As a byproduct, we also compute the Chow ring of $\widetilde{\mathcal{M}}_3^7$. All the Chow rings are assumed to be with coefficients in $\mathbb{Z}[1/6]$.
