About the Artin function in dimension \(N\geqslant 2\).

DOI10.1016/j.crma.2005.03.006zbMath1071.14005OpenAlexW2055458396MaRDI QIDQ1780705

Guillaume Rond

Publication date: 13 June 2005

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2005.03.006

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Global theory of complex singularities; cohomological properties (32S20) Étale and flat extensions; Henselization; Artin approximation (13B40) Analytic algebras and generalizations, preparation theorems (32B05) Local deformation theory, Artin approximation, etc. (14B12)

Related Items (1)

Effective bounds of functions approximating formal solutions of binomial equations

Cites Work

• A theorem on solutions of analytic equations with applications to deformations of complex structures
• Algebraic approximation of structures over complete local rings
• Fonction de Artin et Germes de Courbes Tracees sur un Germe D'Espace Analytique
• Courbes Tracees sur un Germe D'Hypersurface
• Rational points in Henselian discrete valuation rings
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