A uniform general Neron desingularization in dimension one

DOI10.1142/S0219498818501050zbMath1405.13016arXiv1612.03416OpenAlexW2964300405MaRDI QIDQ4563577

Dorin Popescu, Gerhard Pfister, Asma Khalid

Publication date: 1 June 2018

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.03416

zbMATH Keywords

regular morphismssmooth morphisms

Mathematics Subject Classification ID

Regular local rings (13H05) Étale and flat extensions; Henselization; Artin approximation (13B40) Henselian rings (13J15) Local structure of morphisms in algebraic geometry: étale, flat, etc. (14B25)

Related Items (2)

Constructive Néron Desingularization of algebras with big smooth locus ⋮ Simple General Neron Desingularization in local Q-algebras

Uses Software

• SINGULAR
• GND.lib

Cites Work

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• Solutions d'équations à coefficients dans un anneau hensélien
• A new proof of D. Popescu’s theorem on smoothing of ring homomorphisms
• Artin approximation property and the General Neron Desingularization
• An easy proof of the general Neron desingularization in dimension $\leq 1$
• General Néron desingularization
• A Method to Compute the General Neron Desingularization in the Frame of One-Dimensional Local Domains
• Rational points in Henselian discrete valuation rings

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