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Quotients jacobiens : une approche algébrique

Published online by Cambridge University Press:  20 November 2018

Carine Reydy
Carine Reydy*
Affiliation:
Laboratoire A2X, Institut de Mathématiques, 351, cours de la Libération, 33405 Talence, France email: Carine.Reydy@math.u-bordeaux1.fr
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Résumé

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Le diagramme d’Eisenbud et Neumann d’un germe est un arbre qui représente ce germe et permet d’en calculer les invariants. On donne une démonstration algébrique d’un résultat caractérisant l’ensemble des quotients jacobiens d’un germe d’application $(f,\,g)$ à partir du diagramme d’Eisenbud et Neumann de $fg$.

Abstract

Abstract

The Eisenbud and Neumann diagram of a plane curve germ is a tree that represents this germ and allows computation of its invariants. We algebraically show a result that gives a caracterization of the set of jacobian quotients of an application germ $(f,\,g)$ for the datum of the Eisenbud et Neumann diagram of $fg$.

Keywords

14B0532S0532S50Singularitéjacobienquotient jacobienpolygone de Newton
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 59 , Issue 5 , 01 October 2007 , pp. 1069 - 1097
Copyright
Copyright © Canadian Mathematical Society 2007

References

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