[Base d'Hilbert du semigroupe de Lipman]
Dans ce travail, nous donnons une nouvelle méthode pour calculer les générateurs du semigroupe de certains diviseurs positifs a support sur le diviseur exceptionnel d'une singularité de surface normale. Notre approche est purement combinatoire et permet d'éviter le calcul difficile des invariants de l'anneau tel qu'il est présenté dans le travail de Altınok et Tosun.
In this Note, we give a new method to compute the Hilbert basis of the semigroup of certain positive divisors supported on the exceptional divisor of a normal surface singularity. Our approach is purely combinatorial and enables us to avoid the long calculation of the invariants of the ring as it is presented in the work of Altınok and Tosun.
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@article{CRMATH_2010__348_23-24_1311_0,
author = {Mesut \c{S}ahin},
title = {Hilbert basis of the {Lipman} semigroup},
journal = {Comptes Rendus. Math\'ematique},
pages = {1311--1314},
publisher = {Elsevier},
volume = {348},
number = {23-24},
year = {2010},
doi = {10.1016/j.crma.2010.11.005},
language = {en},
}
Mesut Şahin. Hilbert basis of the Lipman semigroup. Comptes Rendus. Mathématique, Volume 348 (2010) no. 23-24, pp. 1311-1314. doi : 10.1016/j.crma.2010.11.005. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2010.11.005/
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