The topology of the generic polar curve and the Zariski invariant for branches of genus one
03 juin 2025
À propos de cet article
Publié en ligne: 03 juin 2025
Pages: 107 - 124
Reçu: 01 déc. 2024
Accepté: 15 mars 2025
DOI: https://doi.org/10.2478/auom-2025-0021
Mots clés
© 2025 Evelia R. García Barroso et al., published by Sciendo
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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.