[Sur l'invariance du semi-groupe d'une singularité quasi-ordinaire de surface]
Nous donnons une preuve algébrique dans le cas des germes bidimensionnels de l'invariance analytique d'un semi-groupe associé par González Pérez à tout germe quasi-ordinaire irréductible d'hypersurface complexe. Nous en déduisons une nouvelle preuve de l'invariance analytique des exposants caractéristiques normalisés. De plus, nous associons des valeurs dans le semi-groupe aux éléments d'un sous-ensemble de l'algèbre locale de .
We give an algebraic proof for 2-dimensional germs of the analytic invariance of a semigroup associated by González Pérez to any irreducible germ of complex quasi-ordinary hypersurface. We deduce from it a new proof of the analytic invariance of the normalized characteristic exponents. Moreover, we associate values in the semigroup to the elements of a subset of the local algebra of .
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@article{CRMATH_2002__334_12_1101_0,
author = {Patrick Popescu-Pampu},
title = {On the invariance of the semigroup of a quasi-ordinary surface singularity},
journal = {Comptes Rendus. Math\'ematique},
pages = {1101--1106},
publisher = {Elsevier},
volume = {334},
number = {12},
year = {2002},
doi = {10.1016/S1631-073X(02)02404-4},
language = {en},
}
Patrick Popescu-Pampu. On the invariance of the semigroup of a quasi-ordinary surface singularity. Comptes Rendus. Mathématique, Volume 334 (2002) no. 12, pp. 1101-1106. doi : 10.1016/S1631-073X(02)02404-4. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02404-4/
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