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, Wall and Mattei.Comment: To appear in Indiana University Mathematics Journal. Minor changes.
Improvement in Corollary
