Symmetric Determinantal Singularities I: The Multiplicity of the Polar Curve

Published 27 Mar 2020 in math.AG | (2003.12543v1)

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.

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