Topological type of discriminants of some special families

Author:

García Barroso Evelia R.,Hernández Iglesias M. Fernando

Abstract

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

Funder

Universidad de la Laguna

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

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