Radial foliations in dimension three
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866914161376624640 |
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| author | Cano, Felipe Molina-Samper, Beatriz |
| author_facet | Cano, Felipe Molina-Samper, Beatriz |
| contents | Radial germs of holomorphic foliations in dimension two have a characteristic property: they are the only singular foliations whose reduction of singularities has no singular points. We also know that they are desingularized by a single dicritical blowing-up. Let us say that a foliated space ((C3, 0),E,F) is almost radial when it has a reduction of singularities without singular points; it will be "radial" under a certain additional condition on the morphism of reduction of singularities. We show that the radial condition corresponds to the "open book" situation. We end the paper with a discussion on the general almost radial case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_13474 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Radial foliations in dimension three Cano, Felipe Molina-Samper, Beatriz Algebraic Geometry Radial germs of holomorphic foliations in dimension two have a characteristic property: they are the only singular foliations whose reduction of singularities has no singular points. We also know that they are desingularized by a single dicritical blowing-up. Let us say that a foliated space ((C3, 0),E,F) is almost radial when it has a reduction of singularities without singular points; it will be "radial" under a certain additional condition on the morphism of reduction of singularities. We show that the radial condition corresponds to the "open book" situation. We end the paper with a discussion on the general almost radial case. |
| title | Radial foliations in dimension three |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2511.13474 |