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.
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.
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@article{CRMATH_2019__357_2_205_0, author = {Almir\'on, Patricio and Blanco, Guillem}, title = {A note on a question of {Dimca} and {Greuel}}, journal = {Comptes Rendus. Math\'ematique}, pages = {205--208}, publisher = {Elsevier}, volume = {357}, number = {2}, year = {2019}, doi = {10.1016/j.crma.2019.01.002}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.crma.2019.01.002/} }
TY - JOUR AU - Almirón, Patricio AU - Blanco, Guillem TI - A note on a question of Dimca and Greuel JO - Comptes Rendus. Mathématique PY - 2019 SP - 205 EP - 208 VL - 357 IS - 2 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2019.01.002/ DO - 10.1016/j.crma.2019.01.002 LA - en ID - CRMATH_2019__357_2_205_0 ER -
%0 Journal Article %A Almirón, Patricio %A Blanco, Guillem %T A note on a question of Dimca and Greuel %J Comptes Rendus. Mathématique %D 2019 %P 205-208 %V 357 %N 2 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2019.01.002/ %R 10.1016/j.crma.2019.01.002 %G en %F CRMATH_2019__357_2_205_0
Almirón, Patricio; Blanco, Guillem. A note on a question of Dimca and Greuel. Comptes Rendus. Mathématique, Tome 357 (2019) no. 2, pp. 205-208. doi : 10.1016/j.crma.2019.01.002. http://www.numdam.org/articles/10.1016/j.crma.2019.01.002/
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☆ 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.