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Lê’s conjecture for cyclic covers

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Luengo Velasco, Ignacio and Pichon, Anne (2005) Lê’s conjecture for cyclic covers. Séminaires & Congrès (10). pp. 163-190. ISSN 1285-2783

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Official URL: http://smf4.emath.fr/en/Publications/SeminairesCongres/2005/10/html/smf_sem-cong_10_163-190.html


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Abstract

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.


Item Type:Article
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Singularités franco-japonaises
Jean-Paul Brasselet - Tatsuo Suwa (Éd.)
Séminaires et Congrès 10 (2005), xxxii+460 pages

Uncontrolled Keywords:Surface complex, entrelac, revêtement cyclique,normalisation topologique
Subjects:Sciences > Mathematics > Algebraic geometry
ID Code:20986
Deposited On:22 Apr 2013 15:44
Last Modified:21 Jun 2018 07:43

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