The topology of the generic polar curve and the Zariski invariant for branches of genus one
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| Format: | Preprint |
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2024
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| _version_ | 1866910702326775808 |
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| author | Barroso, Evelia R. García Hernandes, Marcelo E. Iglesias, M. Fernando Hernández |
| author_facet | Barroso, Evelia R. García Hernandes, Marcelo E. Iglesias, M. Fernando Hernández |
| contents | We study, for plane complex branches of genus one, the topological type of its generic polar curve, as a function of the semigroup of values and the Zariski invariant of the branch. We improve some results given by Casas-Alvero in 2023, since we filter the topological type fixed for the branch by the possible values of Zariski invariants. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2411_10853 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The topology of the generic polar curve and the Zariski invariant for branches of genus one Barroso, Evelia R. García Hernandes, Marcelo E. Iglesias, M. Fernando Hernández Algebraic Geometry 14H20, 32S10 We study, for plane complex branches of genus one, the topological type of its generic polar curve, as a function of the semigroup of values and the Zariski invariant of the branch. We improve some results given by Casas-Alvero in 2023, since we filter the topological type fixed for the branch by the possible values of Zariski invariants. |
| title | The topology of the generic polar curve and the Zariski invariant for branches of genus one |
| topic | Algebraic Geometry 14H20, 32S10 |
| url | https://arxiv.org/abs/2411.10853 |