Topological type of discriminants of some special families

García Barroso E.R.; Hernández Iglesias M.F. · Periodica Mathematica Hungarica (2022) · DOI: 10.1007/s10998-021-00410-0

Resumen

We will describe the topological type of the discriminant curve of the morphism (ℓ, f) , where ℓ is a smooth curve and f is an irreducible curve (branch) of multiplicity less than five or a branch such that the difference between its Milnor number and Tjurina number is less than 3. We prove that for a branch of these families, the topological type of the discriminant curve is determined by the semigroup, the Zariski invariant and at most two other analytical invariants of the branch.

Instituciones: Universidad Nacional Mayor de San Marcos; Pontificia Universidad Católica del Perú