A new proof of D. Popescu’s theorem on smoothing of ring homomorphisms
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Publication:4235500
DOI10.1090/S0894-0347-99-00294-5zbMath0919.13009MaRDI QIDQ4235500
Publication date: 22 March 1999
Published in: Journal of the American Mathematical Society (Search for Journal in Brave)
Singularities in algebraic geometry (14B05) Projective and free modules and ideals in commutative rings (13C10) Morphisms of commutative rings (13B10) Étale and flat extensions; Henselization; Artin approximation (13B40) Henselian rings (13J15) Local deformation theory, Artin approximation, etc. (14B12)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A structure theorem on formally smooth morphisms in positive characteristic
- General Néron desingularization based on the idea of Popescu
- On the approximation property of excellent rings
- Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Première partie). Rédigé avec la colloboration de J. Dieudonné
- Algebraic approximation of structures over complete local rings
- Algebraic structure of power series rings
- General Néron desingularization and approximation
- Solutions d'équations à coefficients dans un anneau hensélien
- General Néron desingularization
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