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arXiv · 2402.14644

Wall-crossing integral Chow rings of $\overline{\mathcal M}_{1,n}$

Luca Battistella·Andrea Di Lorenzo
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Abstract

We compute the integral Chow rings of $\overline{\mathcal M}_{1,n}$ for $n=3,4$. For $n\leq 6$, these stacks can be obtained by a sequence of weighted blow-ups and blow-downs from a simple stack, either a weighted projective space or a Grassmannian. Our strategy consists in inductively computing all the integral Chow rings of the alternative compactifications introduced by Smyth and studied by Lekili-Polishchuk.

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Luca Battistella, Andrea Di Lorenzo. 2024-02-22. Wall-crossing integral Chow rings of $\overline{\mathcal M}_{1,n}$. https://arxiv.org/abs/2402.14644

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