On a Mattei-Salem theorem
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866929643048665088 |
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| author | Fernández-Pérez, Arturo Saravia-Molina, Nancy |
| author_facet | Fernández-Pérez, Arturo Saravia-Molina, Nancy |
| contents | We investigate the relationship between the valuations of a germ of a singular foliation $\mathcal{F}$ on the complex plane and those of a balanced equation of separatrices for $\mathcal{F}$, extending a theorem by Mattei-Salem. Under certain conditions, we also derive inequalities involving the valuation, tangency excess, and degree of a holomorphic foliation $\mathcal{F}$ on the complex projective plane. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_10767 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On a Mattei-Salem theorem Fernández-Pérez, Arturo Saravia-Molina, Nancy Complex Variables We investigate the relationship between the valuations of a germ of a singular foliation $\mathcal{F}$ on the complex plane and those of a balanced equation of separatrices for $\mathcal{F}$, extending a theorem by Mattei-Salem. Under certain conditions, we also derive inequalities involving the valuation, tangency excess, and degree of a holomorphic foliation $\mathcal{F}$ on the complex projective plane. |
| title | On a Mattei-Salem theorem |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2408.10767 |