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On the invariance of the semigroup of a quasi-ordinary surface singularity

✍ Scribed by Patrick Popescu-Pampu

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
81 KB
Volume
334
Category
Article
ISSN
1631-073X

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✦ Synopsis

We give an algebraic proof for 2-dimensional germs of the analytic invariance of a semigroup associated by González Pérez to any irreducible germ S of complex quasiordinary 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 S. To cite this article: P. Popescu-Pampu, C. R. Acad. Sci. Paris, Ser. I 334 (2002) 1101-1106.  2002 Académie des sciences/Éditions scientifiques et médicales Elsevier SAS

Sur l'invariance du semi-groupe d'une singularité quasi-ordinaire de surface Résumé

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 S 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 S.

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