The Newton diagram of an analytic morphism, and applications to differentiable functions

DOI10.1090/S0273-0979-1983-15190-XzbMath0548.58004MaRDI QIDQ3339802

Edward Bierstone, Pierre D. Milman

Publication date: 1983

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Newton diagramscomplete local ringreal analytic mappingHilbert- Samuel functions

Mathematics Subject Classification ID

Semi-analytic sets, subanalytic sets, and generalizations (32B20) Implicit function theorems; global Newton methods on manifolds (58C15) Complete rings, completion (13J10)

Related Items

Relations among analytic functions. I ⋮ Composite differentiable functions ⋮ Linear Chevalley Estimates ⋮ Geometric and differential properties of subanalytic sets ⋮ On the singularities of quadratic forms

Cites Work

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• Bilder und Urbilder analytischer Garben
• Fonctions composees différentiables
• Applications des faisceaux analytiques sémi-cohérents aux fonctions différentiables
• Algebraic approximation of structures over complete local rings
• On the theory of local rings
• Composite differentiable functions