Construction of Neron Desingularization for Two Dimensional Rings
Gerhard Pfister, Dorin Popescu
TL;DR
This paper presents an algorithmic proof of the General Neron Desingularization theorem specifically for two-dimensional local rings, focusing on cases with a small singular locus, advancing computational approaches in algebraic geometry.
Contribution
It provides the first algorithmic proof of Neron Desingularization for 2D local rings, expanding computational methods in singularity resolution.
Findings
Algorithmic proof for 2D local rings
Applicable to morphisms with small singular locus
Enhances computational algebraic geometry tools
Abstract
An algorithmic proof of the General Neron Desingularization theorem is given for -dimensional local rings and morphisms with small singular locus.
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Taxonomy
TopicsTensor decomposition and applications · Algebraic structures and combinatorial models · Finite Group Theory Research