An uniform General Neron Desingularization in dimension one

TL;DR

This paper presents a uniform approach to General Neron Desingularization for one-dimensional local rings, with applications to Cohen-Macaulay rings, enhancing the understanding of singularity resolution in algebraic geometry.

Contribution

It introduces a uniform version of General Neron Desingularization specifically for one-dimensional local rings, extending previous non-uniform methods.

Findings

Provides a uniform Neron Desingularization for one-dimensional local rings.

Establishes applications to Cohen-Macaulay rings.

Enhances techniques for resolving singularities in algebraic geometry.

Abstract

We give an uniform General Neron Desingularization for one dimensional local rings with respect to morphisms which coincide modulo a high power of the maximal ideal. The result has interesting applications in the case of Cohen-Macaulay rings.