[Nœuds toriques itérés bidimensionnels et singularités quasi-ordinaires des surfaces]
Nous définissons une notion de nœud torique itéré bidimensionnel, à savoir des plongements particuliers d'un 2-tore dans le produit cartésien d'un 2-tore et d'un 2-disque. Nous appliquons cette définition à la description de la topologie plongée du bord d'un germe quasi-ordinaire irréductible d'hypersurface de dimension 2, en fonction des exposants caractéristiques d'une projection quasi-ordinaire arbitraire. Accessoirement, nous donnons un algorithme de calcul du type de Jung–Hirzebruch de sa normalisation.
We define a notion of 2-dimensional iterated torus knot, namely special embeddings of a 2-torus in the Cartesian product of a 2-torus and a 2-disc. We apply this definition to give a description of the embedded topology of the boundary of an irreducible quasi-ordinary hypersurface germ of dimension 2, in terms of the characteristic exponents of an arbitrary quasi-ordinary projection. Incidentally, we give an algorithm for computing the Jung–Hirzebruch type of its normalization.
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@article{CRMATH_2003__336_8_651_0,
author = {Patrick Popescu-Pampu},
title = {Two-dimensional iterated torus knots and quasi-ordinary surface singularities},
journal = {Comptes Rendus. Math\'ematique},
pages = {651--656},
publisher = {Elsevier},
volume = {336},
number = {8},
year = {2003},
doi = {10.1016/S1631-073X(03)00099-2},
language = {en},
}
Patrick Popescu-Pampu. Two-dimensional iterated torus knots and quasi-ordinary surface singularities. Comptes Rendus. Mathématique, Volume 336 (2003) no. 8, pp. 651-656. doi : 10.1016/S1631-073X(03)00099-2. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(03)00099-2/
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