THE THIRTEENTH COLLOQUIUMFEST

Speaker:
Maria Alberich (Universidad Politecnica de Catalunya, Barcelona, Spain)

Title:
Determining plane curve singularities from its polars

Abstract:
The topic of the talk falls in the stream of understanding a plane curve
singularity using its polar curves.

A procedure will be shown to construct the singular points of a plane
curve singularity directly from the cluster of base points of its
polars. In particular, the equisingularity class (or topological
equivalence class) of a germ of plane curve will be explicitly
determined from the equisingularity class of generic polars and
combinatorial data about the non-singular points shared by them.