Topological type of discriminants of some special families

Evelia R. García Barroso, M. Fernando Hernández Iglesias

Resultado de la investigación: Contribución a una revistaArtículorevisión exhaustiva

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.

Idioma original Inglés Periodica Mathematica Hungarica https://doi.org/10.1007/s10998-021-00410-0 Aceptada/en prensa - 2021 Sí