Topological type of discriminants of some special families

Evelia R. García Barroso, M. Fernando Hernández Iglesias

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
JournalPeriodica Mathematica Hungarica
StateAccepted/In press - 2021
Externally publishedYes

Bibliographical note

Funding Information:
Evelia R. García Barroso was partially supported by the Spanish Project MICINN PID2019-105896GB-I00.

Publisher Copyright:
© 2021, The Author(s).


  • Discriminant curve
  • Milnor number
  • Newton polygon
  • Nondegenerate singularity
  • Tjurina number
  • Zariski invariant


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