A Method to Compute the General Neron Desingularization in the Frame of One-Dimensional Local Domains

DOI10.1007/978-3-319-28829-1_10zbMath1365.13014arXiv1508.05511OpenAlexW2259369883MaRDI QIDQ5267818

Adrian Popescu, Dorin Popescu

Publication date: 13 June 2017

Published in: Singularities and Computer Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.05511

zbMATH Keywords

regular morphismssmooth morphismssmoothing ring 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 (4)

Construction of Neron Desingularization for Two Dimensional Rings ⋮ A uniform general Neron desingularization in dimension one ⋮ Constructive general Néron desingularization for one dimensional local rings ⋮ Simple General Neron Desingularization in local Q-algebras

Uses Software

• SINGULAR
• GND.lib

Cites Work

• Unnamed Item
• Modèles minimaux des variétés abéliennes sur les corps locaux et globaux
• Rational points in Henselian discrete valuation rings
• Algebraic approximation of structures over complete local rings
• 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
• Letter to the editor: General Néron desingularization and approximation
• General Néron desingularization

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