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.
|Journal||Periodica Mathematica Hungarica|
|State||Accepted/In press - 2021|
Bibliographical noteFunding Information:
Evelia R. García Barroso was partially supported by the Spanish Project MICINN PID2019-105896GB-I00.
© 2021, The Author(s).
- Discriminant curve
- Milnor number
- Newton polygon
- Nondegenerate singularity
- Tjurina number
- Zariski invariant