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Lê’s conjecture for cyclic covers

Société Mathématique de France
Publication Date
  • Geometria Algebraica


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.

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