A note on a question of Dimca and Greuel
Patricio Almir\'on, Guillem Blanco
TL;DR
This paper addresses a specific question about the relationship between Milnor and Tjurina numbers in certain plane curve singularities, providing a positive answer in particular cases.
Contribution
It offers a positive resolution to a question posed by Dimca and Greuel for specific classes of plane curve singularities.
Findings
Confirmed the relationship for singularities with one Puiseux pair.
Validated the relationship for semi-quasi-homogeneous singularities.
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.
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