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.
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.
Accepted:
Published online:
Patricio Almirón 1; Guillem Blanco 2
@article{CRMATH_2019__357_2_205_0, author = {Patricio Almir\'on and Guillem Blanco}, 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}, }
Patricio Almirón; Guillem Blanco. A note on a question of Dimca and Greuel. Comptes Rendus. Mathématique, Volume 357 (2019) no. 2, pp. 205-208. doi : 10.1016/j.crma.2019.01.002. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2019.01.002/
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Cited by Sources:
☆ 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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