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

Fuente: arXiv
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Main Author: Liu, Yuhan
Format: Preprint
Published: 2025
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_version_ 1866912568893767680
author Liu, Yuhan
author_facet Liu, Yuhan
contents 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 Künneth generation Property.
format Preprint
id arxiv_https___arxiv_org_abs_2509_02950
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On the Chow Rings of the Moduli Spaces $\mathcal{M}_{5,8}$ and $\mathcal{M}_{5,9}$
Liu, Yuhan
Algebraic Geometry
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 Künneth generation Property.
title On the Chow Rings of the Moduli Spaces $\mathcal{M}_{5,8}$ and $\mathcal{M}_{5,9}$
topic Algebraic Geometry
url https://arxiv.org/abs/2509.02950