Alberich-Carramiñana, MaríaAlmirón, PatricioBlanco, GuillemMelle Hernández, Alejandro2023-06-172023-06-172020https://hdl.handle.net/20.500.14352/7204In this paper we give a positive answer to a question of Dimca and Greuel about the quotient between the Milnor and the Tjurina numbers for any irreducible germ of plane curve singularity. This result is based on a closed formula for the minimal Tjurina number of an equisingularity class in terms of the sequence of multiplicities of the strict transform along a resolution. The key points for the proof are previous results by Genzmer [6], and by Wall and Mattei [13, 11].engjournal articleopen access512.76/.77Curve singularitiesTjurina numberMilnor numberFunciones (Matemáticas)Geometria algebraica1202 Análisis y Análisis Funcional1201.01 Geometría Algebraica