Lê’s conjecture for cyclic covers

Luengo Velasco, IgnacioPichon, Anne2023-06-202023-06-2020051285-2783https://hdl.handle.net/20.500.14352/50585Singularités franco-japonaises Jean-Paul Brasselet - Tatsuo Suwa (Éd.) Séminaires et Congrès 10 (2005), xxxii+460 pagesWe describe the link of the cyclic cover over a singularity of complex surface (S, p) totally branched over the zero locus of a germ of analytic function (S, p) ! (C, 0).As an application, we prove Lê’s conjecture for this family of singu-larities i.e. that if the link is homeomorphic to the 3-sphere then the singularity is an equisingular family of unibranch curves.engLê’s conjecture for cyclic coversjournal articlehttp://smf4.emath.fr/en/Publications/SeminairesCongres/2005/10/html/smf_sem-cong_10_163-190.htmlhttp://smf.emath.fr/restricted access512.7Surface complexentrelacrevêtement cycliquenormalisation topologiqueGeometria algebraica1201.01 Geometría Algebraica