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The topology of the generic polar curve and the Zariski invariant for branches of genus one

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03 juin 2025
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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.

Langue:
Anglais
Périodicité:
3 fois par an
Sujets de la revue:
Mathématiques, Mathématiques générales