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math.AG2024
The topology of the generic polar curve and the Zariski invariant for branches of genus one
Evelia R. García Barroso, Marcelo E. Hernandes, M. Fernando Hernández Iglesias
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…
math.AG2024
A Eudoxian study of discriminant curves associated to normal surface singularities
Evelia Rosa García Barroso, Patrick Popescu-Pampu
Let be a finite morphism from a germ of normal complex analytic surface to the germ of at the origin. We show that the affine al…