A Note on 1-Forms for Reduced Curve Singularities

Abstract

We collect some classical results about holomorphic 1-forms of a reduced complex curve singularity, in particular of a complete intersection, and use them to compare the Milnor number, the Tjurina number and the dimension of the torsion part of the 1-forms.

This preprint is superseded by the preprint arXiv 1709.01451, joint work with Alexandru Dimca

References in corpus (2)

• Milnor and Tjurina numbers for a hypersurface germ with isolated singularity
• A remark on 1-forms and plane curve singularities