%0 Journal Article
%A Alberich-Carramiñana, María
%A Almirón, Patricio
%A Blanco, Guillem
%A Melle Hernández, Alejandro
%T The minimal Tjurina number of irreducible germs of plane curves singularities
%D 2020
%U https://hdl.handle.net/20.500.14352/7204
%X In 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].
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