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arXiv · 2108.03680

Stable cuspidal curves and the integral Chow ring of $\overline{\mathscr{M}}_{2,1}$

Andrea Di Lorenzo·Michele Pernice·Angelo Vistoli
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Abstract

In this paper we introduce the moduli stack $\widetilde{\mathscr{M}}_{g,n}$ of $n$-marked stable at most cuspidal curves of genus $g$ and we use it to determine the integral Chow ring of $\overline{\mathscr{M}}_{2,1}$. Along the way, we also determine the integral Chow ring of $\overline{\mathscr{M}}_{1,2}$.

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Andrea Di Lorenzo, Michele Pernice, Angelo Vistoli. 2021-08-08. Stable cuspidal curves and the integral Chow ring of $\overline{\mathscr{M}}_{2,1}$. https://doi.org/10.2140/gt.2024.28.2915

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