Constructive general Néron desingularization for one dimensional local rings

DOI10.1016/j.jsc.2016.07.026zbMath1406.13006arXiv1512.08435OpenAlexW2963830188MaRDI QIDQ1711989

Dorin Popescu, Gerhard Pfister

Publication date: 21 January 2019

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.08435

zbMATH Keywords

regular morphismssmooth morphismssmoothing ring morphisms

Mathematics Subject Classification ID

Software, source code, etc. for problems pertaining to commutative algebra (13-04) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) 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

Construction of Neron Desingularization for Two Dimensional Rings ⋮ A uniform general Neron desingularization in dimension one ⋮ 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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• Modèles minimaux des variétés abéliennes sur les corps locaux et globaux
• Algebraic approximation of structures over complete local rings
• Around General Neron Desingularization
• General Néron desingularization and approximation
• 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
• Letter to the editor: General Néron desingularization and approximation
• 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