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oai:docta.ucm.es:20.500.14352/505852023-08-25T14:18:18Zcom_20.500.14352_14col_20.500.14352_15

Lê’s conjecture for cyclic covers Luengo Velasco, Ignacio Pichon, Anne 512.7 Surface complex entrelac revêtement cyclique normalisation topologique Geometria algebraica 1201.01 Geometría Algebraica Singularités franco-japonaises Jean-Paul Brasselet - Tatsuo Suwa (Éd.) Séminaires et Congrès 10 (2005), xxxii+460 pages We 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. Depto. de Álgebra, Geometría y Topología Fac. de Ciencias Matemáticas TRUE pub 2023-06-20T10:34:18Z 2023-06-20T10:34:18Z 2005 journal article https://hdl.handle.net/20.500.14352/50585 1285-2783 eng restricted access application/pdf Société Mathématique de France