On the quotient of Milnor and Tjurina numbers for two-dimensional isolated hypersurface singularities

Abstract

In this paper we give a complete answer to a question posed by Dimca and Greuel about the quotient of the Milnor and Tjurina numbers of a plane curve singularity. We put this question into a general framework of the study of the difference of Milnor and Tjurina numbers for isolated complete intersection singularities showing its connection with other problems in singularity theory.

arXiv commentTo appear in Math. Nachr.; 11 pages, Improved redaction of section 3.1., minor changes