On 2-dimensional local rings with Artin's approximation property

DOI10.1017/S0305004100060904zbMath0578.13014OpenAlexW2100074321MaRDI QIDQ3699818

Martin L. Brown

Publication date: 1983

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100060904

zbMATH Keywords

desingularizationArtin approximation propertyexcellent henselian ring\(R_ 1\)\(S_ 1\)2-dimensional local rings

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Local rings and semilocal rings (13H99) Henselian rings (13J15) Local deformation theory, Artin approximation, etc. (14B12)

Cites Work

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• A remark on two-dimensional local rings with the property of approximation
• Algebraic approximation of structures over complete local rings
• Introduction to Grothendieck duality theory
• Divisorial varieties

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