Teissier singularities

TL;DR

This paper introduces Teissier singularities, proposing their potential role in resolving singularities in positive characteristic, analogous to quasi-ordinary singularities in characteristic zero.

Contribution

It defines Teissier singularities and explores their potential as a tool for resolution of singularities in positive characteristic.

Findings

Teissier singularities are introduced as a new class of singularities.

They are proposed as candidates for resolution techniques in positive characteristic.

The paper draws parallels with quasi-ordinary singularities in characteristic zero.

Abstract

The goal of this note is to introduce Teissier singularities and to explain why they are candidate to play, in positive characteristics, a role for resolution of singularities which is similar to the role played by quasi-ordinary singularities in characteristic zero.