Il existe une correspondance entre l'ensemble des fonctions de l'idéal maximal de l'anneau local en une singularité rationnelle ξ d'une surface et un ensemble de diviseurs effectifs portés par la fibre exceptionnelle E d'une résolution de cette singularité. Étant donné un élément et une composante N de Y qui n'est pas Tjurina, nous établissons une formule donnant le plus petit élément de l'ensemble des diviseurs supérieur ou égal à , indiquée mais non démontrée dans Tosun (1999).
There is a correspondence between the set of functions in the maximal ideal of the local ring of a rational surface singularity ξ and the set consisting of certain effective divisors supported on the exceptional fiber E of a resolution of the singularity. Given an element and a non-Tjurina component N of Y, we verify a formula for the least element of the set of divisors greater than or equal to stated but not proved in Tosun (1999).
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Selma Altınok 1
@article{CRMATH_2009__347_11-12_643_0, author = {Selma Alt{\i}nok}, title = {On an analog of {Pinkham's} theorem for {non-Tjurina} components of rational singularities}, journal = {Comptes Rendus. Math\'ematique}, pages = {643--646}, publisher = {Elsevier}, volume = {347}, number = {11-12}, year = {2009}, doi = {10.1016/j.crma.2009.04.010}, language = {en}, }
Selma Altınok. On an analog of Pinkham's theorem for non-Tjurina components of rational singularities. Comptes Rendus. Mathématique, Volume 347 (2009) no. 11-12, pp. 643-646. doi : 10.1016/j.crma.2009.04.010. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2009.04.010/
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