Wall-crossing integral Chow rings of $\overline{\mathcal M}_{1,n}$
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866911782085328896 |
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| author | Battistella, Luca Di Lorenzo, Andrea |
| author_facet | Battistella, Luca Di Lorenzo, Andrea |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_14644 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Wall-crossing integral Chow rings of $\overline{\mathcal M}_{1,n}$ Battistella, Luca Di Lorenzo, Andrea Algebraic Geometry 14H10, 14C15, 14D23 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. |
| title | Wall-crossing integral Chow rings of $\overline{\mathcal M}_{1,n}$ |
| topic | Algebraic Geometry 14H10, 14C15, 14D23 |
| url | https://arxiv.org/abs/2402.14644 |