Minimality of a toric embedded resolution of singularities after Bouvier-Gonzalez-Sprinberg

TL;DR

This paper constructs a minimal toric embedded resolution of rational singularities using jet schemes, extending the concept of the profile of a simplicial cone to achieve minimality.

Contribution

It introduces a new method for obtaining minimal toric resolutions by extending the profile concept of simplicial cones, advancing resolution techniques.

Findings

Successfully constructs minimal toric resolutions for rational singularities.

Extends the concept of the profile of a simplicial cone.

Provides a new framework for resolution minimality.

Abstract

This paper is devoted to construct a minimal toric embedded resolution of a rational singularity via jet schemes. The minimality is reached by extending the concept of the profile of a simplicial cone given in 6.