Artin approximation property and the General Neron Desingularization

zbMath1389.13027arXiv1511.06967MaRDI QIDQ4591091

Dorin Popescu

Publication date: 10 November 2017

Full work available at URL: https://arxiv.org/abs/1511.06967

zbMATH Keywords

Artin approximationregular morphismssmooth morphismsNéron desingularizationBass-Quillen conjecturesmoothing ring morphismsQuillen's question

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Regular local rings (13H05) Deformations of singularities (14B07) Étale and flat extensions; Henselization; Artin approximation (13B40) Complete rings, completion (13J10) Power series rings (13J05) Henselian rings (13J15) Local deformation theory, Artin approximation, etc. (14B12) Local structure of morphisms in algebraic geometry: étale, flat, etc. (14B25)

Related Items (5)

A uniform general Neron desingularization in dimension one ⋮ Constructive Néron Desingularization of algebras with big smooth locus ⋮ Nested Artin strong approximation property ⋮ Constructive general Néron desingularization for one dimensional local rings ⋮ Simple General Neron Desingularization in local Q-algebras

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