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arXiv · 2211.09793

$A_r$-stable curves and the Chow ring of $\overline{\mathcal{M}}_3$

Michele Pernice
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Abstract

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 $\mathbb{Z}[1/6]$.

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Michele Pernice. 2022-11-17. $A_r$-stable curves and the Chow ring of $\overline{\mathcal{M}}_3$. https://arxiv.org/abs/2211.09793

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