Newton Polyhedra and Whitney Equisingularity for Isolated Determinantal Singularities

TL;DR

This paper establishes conditions based on Newton polyhedra and matrix non-degeneracy that ensure Whitney equisingularity in families of isolated determinantal singularities.

Contribution

It introduces new criteria linking Newton polyhedra and matrix non-degeneracy to Whitney equisingularity for determinantal singularities.

Findings

Provided explicit conditions for Whitney equisingularity

Linked Newton polyhedra properties to singularity behavior

Extended understanding of determinantal singularity classification

Abstract

Using Newton polyhedra and non-degeneracy of matrices we present conditions which guarantee the Whitney equisingularity of families of isolated determinantal singularities.