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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2311.16694 |
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| _version_ | 1866914252614270976 |
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| author | Posva, Quentin |
| author_facet | Posva, Quentin |
| contents | We study the singularities of varieties obtained as infinitesimal quotients by $1$-foliations in positive characteristic. (1) We show that quotients by (log) canonical $1$-foliations preserve the (log) singularities of the MMP. (2) We prove that quotients by multiplicative derivations preserve many properties, amongst which most $F$-singularities. (3) We formulate a notion of families of $1$-foliations, and investigate the corresponding families of quotients. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_16694 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the singularities of quotients by 1-foliations Posva, Quentin Algebraic Geometry We study the singularities of varieties obtained as infinitesimal quotients by $1$-foliations in positive characteristic. (1) We show that quotients by (log) canonical $1$-foliations preserve the (log) singularities of the MMP. (2) We prove that quotients by multiplicative derivations preserve many properties, amongst which most $F$-singularities. (3) We formulate a notion of families of $1$-foliations, and investigate the corresponding families of quotients. |
| title | On the singularities of quotients by 1-foliations |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2311.16694 |