Principalization on logarithmically foliated orbifolds
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866916658714509312 |
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| author | Abramovich, Dan da Silva, André Belotto Temkin, Michael Włodarczyk, Jarosław |
| author_facet | Abramovich, Dan da Silva, André Belotto Temkin, Michael Włodarczyk, Jarosław |
| contents | In characteristic zero, we construct principalization of ideals on smooth orbifolds endowed with a normal crossings divisor and a foliation. We then illustrate how the method can be used in the general study of foliations via two applications. First, we provide a resolution of singularities of Darboux totally integrable foliations in arbitrary dimensions -- including rational and meromorphic Darboux foliations. Second, we show how to transform a generically transverse section into a transverse section. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_00926 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Principalization on logarithmically foliated orbifolds Abramovich, Dan da Silva, André Belotto Temkin, Michael Włodarczyk, Jarosław Algebraic Geometry In characteristic zero, we construct principalization of ideals on smooth orbifolds endowed with a normal crossings divisor and a foliation. We then illustrate how the method can be used in the general study of foliations via two applications. First, we provide a resolution of singularities of Darboux totally integrable foliations in arbitrary dimensions -- including rational and meromorphic Darboux foliations. Second, we show how to transform a generically transverse section into a transverse section. |
| title | Principalization on logarithmically foliated orbifolds |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2503.00926 |