Transversely product singularities of foliations in projective spaces
We prove that a transversely product component of the singular set of a holomorphic foliation on $\mathbb{P}^n$ is necessarily a Kupka component.
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| Format: | Article |
| Language: | English |
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Académie des sciences
2023-12-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.528/ |
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| _version_ | 1825206257320984576 |
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| author | Rosas, Rudy |
| author_facet | Rosas, Rudy |
| author_sort | Rosas, Rudy |
| collection | DOAJ |
| description | We prove that a transversely product component of the singular set of a holomorphic foliation on $\mathbb{P}^n$ is necessarily a Kupka component. |
| format | Article |
| id | doaj-art-aa2afdef29df4d89bd2a989e244c8a59 |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2023-12-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-aa2afdef29df4d89bd2a989e244c8a592025-02-07T11:12:14ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692023-12-01361G111785178710.5802/crmath.52810.5802/crmath.528Transversely product singularities of foliations in projective spacesRosas, Rudy0Departamento de Ciencias, Pontificia Universidad Católica del Perú, Av. Universitaria 1801, Lima, PerúWe prove that a transversely product component of the singular set of a holomorphic foliation on $\mathbb{P}^n$ is necessarily a Kupka component.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.528/ |
| spellingShingle | Rosas, Rudy Transversely product singularities of foliations in projective spaces Comptes Rendus. Mathématique |
| title | Transversely product singularities of foliations in projective spaces |
| title_full | Transversely product singularities of foliations in projective spaces |
| title_fullStr | Transversely product singularities of foliations in projective spaces |
| title_full_unstemmed | Transversely product singularities of foliations in projective spaces |
| title_short | Transversely product singularities of foliations in projective spaces |
| title_sort | transversely product singularities of foliations in projective spaces |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.528/ |
| work_keys_str_mv | AT rosasrudy transverselyproductsingularitiesoffoliationsinprojectivespaces |