Symmetric Determinantal Singularities I: The Multiplicity of the Polar Curve

Abstract

This paper is the first part of a two part paper which introduces the study of the Whitney Equisingularity of families of Symmetric determinantal singularities. This study reveals how to use the multiplicity of polar curves associated to a generic deformation of a singularity to control the Whitney equisingularity type of these curves.

References in corpus (3)

• Integral closure of ideals
• Segre Numbers and Hypersurface Singularities
• The Multiplicity-Polar Theorem

Cited by in corpus (1)

• Symmetric Determinantal Singularities II: Equisingularity and SEIDS