Holomorphic foliations tangent to Rolle-pfaffian hypersurfaces
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866911980907921408 |
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| author | Fernández-Pérez, Arturo Mol, Rogério Rosas, Rudy |
| author_facet | Fernández-Pérez, Arturo Mol, Rogério Rosas, Rudy |
| contents | In this paper we study germs of holomorphic foliations, at the origin of the complex plane, tangent to Pfaffian hypersurfaces - integral hypersurfaces of real analytic 1-forms - satisfying the Rolle-Khovanskii condition. This hypothesis leads us to conclude that such a foliation is defined by a closed meromorphic 1-form, also allowing the classification of the simple models in its reduction of singularities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_03914 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Holomorphic foliations tangent to Rolle-pfaffian hypersurfaces Fernández-Pérez, Arturo Mol, Rogério Rosas, Rudy Complex Variables Dynamical Systems 37F75, 32S65, 32V40 In this paper we study germs of holomorphic foliations, at the origin of the complex plane, tangent to Pfaffian hypersurfaces - integral hypersurfaces of real analytic 1-forms - satisfying the Rolle-Khovanskii condition. This hypothesis leads us to conclude that such a foliation is defined by a closed meromorphic 1-form, also allowing the classification of the simple models in its reduction of singularities. |
| title | Holomorphic foliations tangent to Rolle-pfaffian hypersurfaces |
| topic | Complex Variables Dynamical Systems 37F75, 32S65, 32V40 |
| url | https://arxiv.org/abs/2408.03914 |