×

Letter to the editor: General Néron desingularization and approximation. (English) Zbl 0685.14009

A regular local morphism of noetherian rings is a filtered inductive limit of smooth finite type morphisms. This result is the subject of two previous papers [cf. the author, Nagoya Math. J. 100, 97-126 (1985; Zbl 0561.14008) and 104, 85-115 (1986; Zbl 0592.14014)] where many applications are given. Using almost the same ideas T. Ogoma got an important simplification [“General Néron desingularization based on idea of Popescu“ (Preprint 1988)] which also contained a small reparation to our previous proof in nonseparable case. The aim of this note is to give a very easy proof of the above result using our previous papers as well as Ogoma’s simplification.
Reviewer: D.Popescu

MSC:

14E15 Global theory and resolution of singularities (algebro-geometric aspects)
13E05 Commutative Noetherian rings and modules
14B25 Local structure of morphisms in algebraic geometry: étale, flat, etc.
PDF BibTeX XML Cite
Full Text: DOI

References:

[1] DOI: 10.1016/0021-8693(86)90087-6 · Zbl 0604.13003
[2] Commutative Algebra (1980)
[3] Nagoya Math. J. 100 pp 97– (1985) · Zbl 0561.14008
[4] Nagoya Math. J. 104 pp 85– (1986) · Zbl 0592.14014
[5] Publ. Sem. Math (1972)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.