Jawad Snoussi, CMAF, Lisboa
Limits of Tangent Spaces at a Surface Singularity

One tool for a local study of singular analytic spaces is to consider collections of sections of these spaces with linear spaces of various codimension. In the case of surfaces, the study of hyperplane sections at singular points leads to the study of limits of tangent hyperplanes. We give various characterisations of these hyperplanes and of their sections by means of equisingularity of curves.