Limits of Tangents of a Quasi-Ordinary Hypersurface

TL;DR

This paper explicitly computes the limits of tangents for quasi-ordinary hypersurface singularities using special monomials, revealing that these limits form a topological invariant of the singularity.

Contribution

It provides an explicit method to determine the limits of tangents for quasi-ordinary hypersurfaces based on their special monomials, linking geometric properties to topological invariants.

Findings

Limits of tangents are explicitly computed in terms of special monomials.

The set of limits of tangents is a topological invariant of the hypersurface.

The approach connects algebraic data with geometric and topological properties.

Abstract

We compute explicitly the limits of tangents of a quasi-ordinary singularity in terms of its special monomials. We show that the set of limits of tangents of Y is essentially a topological invariant of Y .