Topological type of discriminants of some special families

  1. García Barroso, Evelia R. 1
  2. Hernández Iglesias, M. Fernando 2
  1. 1 Universidad de La Laguna
    info

    Universidad de La Laguna

    San Cristobal de La Laguna, España

    ROR https://ror.org/01r9z8p25

  2. 2 Universidad Nacional Mayor de San Marcos
    info

    Universidad Nacional Mayor de San Marcos

    Lima, Perú

    ROR https://ror.org/006vs7897

Revue:
Periodica Mathematica Hungarica

ISSN: 0031-5303 1588-2829

Année de publication: 2022

Volumen: 84

Pages: 321-345

Type: Article

DOI: 10.1007/S10998-021-00410-0 GOOGLE SCHOLAR lock_openAccès ouvert editor

D'autres publications dans: Periodica Mathematica Hungarica

Objectifs de Développement Durable

Résumé

AbstractWe will describe the topological type of the discriminant curve of the morphism $$(\ell , f)$$ ( ℓ , f ) , where $$\ell $$ 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.

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