TY - JOUR
T1 - The topology of the generic polar curve and the Zariski invariant for branches of genus one
AU - García Barroso, Evelia R.
AU - Hernandess, Marcelo E.
AU - Fernando Hernández Iglesias, M.
N1 - Publisher Copyright:
© 2025 Evelia R. García Barroso et al., published by Sciendo.
PY - 2025/6/1
Y1 - 2025/6/1
N2 - 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.
AB - 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.
KW - Plane branches
KW - Zariski invariant
KW - generic polar curve
KW - topological type
UR - https://www.scopus.com/pages/publications/105009254331
U2 - 10.2478/auom-2025-0021
DO - 10.2478/auom-2025-0021
M3 - Article
AN - SCOPUS:105009254331
SN - 1224-1784
VL - 33
SP - 107
EP - 124
JO - Analele Stiintifice ale Universitatii Ovidius Constanta
JF - Analele Stiintifice ale Universitatii Ovidius Constanta
IS - 2
ER -