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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2602.20703 |
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| _version_ | 1866912977147396096 |
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| author | Hiroi, Yutaro |
| author_facet | Hiroi, Yutaro |
| contents | We study the relation between birational singularities of 1-foliations and those of their quotients. We prove that the quotient $X/\mathcal{F}$ is log canonical (resp. klt) if and only if $\mathcal{F}$ is $\frac{p-1}{p}$-log canonical (resp. $\frac{p-1}{p}$-klt). Moreover, we obtain the classification of klt quotients by 1-foliations on regular surfaces in the cases $p=2,3$ and $5$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_20703 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Quotients by $(p-1)/p$-klt Foliations on Surfaces Hiroi, Yutaro Algebraic Geometry We study the relation between birational singularities of 1-foliations and those of their quotients. We prove that the quotient $X/\mathcal{F}$ is log canonical (resp. klt) if and only if $\mathcal{F}$ is $\frac{p-1}{p}$-log canonical (resp. $\frac{p-1}{p}$-klt). Moreover, we obtain the classification of klt quotients by 1-foliations on regular surfaces in the cases $p=2,3$ and $5$. |
| title | Quotients by $(p-1)/p$-klt Foliations on Surfaces |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2602.20703 |