Resolution of $1$-foliations singularities on surfaces and threefolds
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866912528589651968 |
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| author | Posva, Quentin |
| author_facet | Posva, Quentin |
| contents | We consider resolution of singularities for $1$-foliations on varieties of dimension at most three in positive characteristic. We prove that such singularities can be completely resolved if we allow tame regular Deligne--Mumford stacks as underlying spaces. If one restricts to underlying varieties, we show that $1$-foliations singularities can be simplified into multiplicative ones. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_05735 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Resolution of $1$-foliations singularities on surfaces and threefolds Posva, Quentin Algebraic Geometry We consider resolution of singularities for $1$-foliations on varieties of dimension at most three in positive characteristic. We prove that such singularities can be completely resolved if we allow tame regular Deligne--Mumford stacks as underlying spaces. If one restricts to underlying varieties, we show that $1$-foliations singularities can be simplified into multiplicative ones. |
| title | Resolution of $1$-foliations singularities on surfaces and threefolds |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2405.05735 |