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Comptes Rendus Mathématique
Volume 357, n° 2
pages 205-208 (février 2019)
Doi : 10.1016/j.crma.2019.01.002
Received : 5 November 2018 ;  accepted : 8 January 2019
A note on a question of Dimca and Greuel
Une note sur une question de Dimca et Greuel
 

Patricio Almirón a , Guillem Blanco b
a Departamento de Álgebra, Geometría y Topología, Universidad Complutense de Madrid, Plaza de las Ciencias 3, 28040 Madrid, Spain 
b Departament de Matemàtiques, Univ. Politècnica de Catalunya, Av. Diagonal 647, 08028 Barcelona, Spain 

Abstract

In this note, we give a positive answer to a question of Dimca and Greuel about the quotient between the Milnor and Tjurina numbers of an isolated plane curve singularity in the cases of one Puiseux pair and semi-quasi-homogeneous singularities.

The full text of this article is available in PDF format.
Résumé

Dans cette note, nous donnons une réponse positive à une question de Dimca et Greuel sur le quotient entre les nombres de Milnor et de Tjurina d'une singularité de courbe plane isolée dans le cas d'une paire de Puiseux et de singularités semi-quasi homogènes.

The full text of this article is available in PDF format.

 The first author was partially supported by Spanish Ministerio de Ciencia, Innovación y Universidades MTM2016-76868-C2-1-P. The second author was supported by Spanish Ministerio de Ciencia, Innovación y Universidades MTM2015-69135-P and Generalitat de Catalunya 2017SGR-932 projects.



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