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arXiv · 2509.02950

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

Yuhan Liu
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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.

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Yuhan Liu. 2025-09-03. On the Chow Rings of the Moduli Spaces $\mathcal{M}_{5,8}$ and $\mathcal{M}_{5,9}$. https://arxiv.org/abs/2509.02950

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