An easy proof of the general Neron desingularization in dimension $\leq 1$
Asma Khalid, Zunaira Kosar
TL;DR
This paper provides a simplified proof of the general Neron desingularization for regular morphisms between Artinian local rings and one-dimensional Noetherian local rings, enhancing understanding of singularity resolution.
Contribution
It introduces an accessible proof of the general Neron desingularization in the context of dimension one, simplifying previous approaches.
Findings
Simplified proof of Neron desingularization in dimension ≤ 1
Clarification of regular morphism properties in local rings
Potential applications in algebraic geometry and singularity theory
Abstract
In this paper we give an easy proof of the general Neron desingularization in the frame of regular morphism between Artinian local rings and Noetherian local rings of dimension one.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Algebraic structures and combinatorial models · Algebraic Geometry and Number Theory