The modified analytic trivialization of family of real analytic functions

DOI10.1007/BF01388866zbMath0559.58005OpenAlexW1986094185MaRDI QIDQ2266273

Etsuo Yoshinaga, Toshizumi Fukui

Publication date: 1985

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143296

zbMATH Keywords

real analytic functionsmodified analytic trivializationNewton principal part

Mathematics Subject Classification ID

Real-valued functions on manifolds (58C05)

Related Items

Motivic-type invariants of blow-analytic equivalence. ⋮ Topologically Principal Part of Analytic Functions ⋮ Stability of Newton Boundaries of a Family of Real Analytic Singularities ⋮ Topological triviality of deformations of regular mappings ⋮ All links are semiholomorphic ⋮ Equivalence relations for two variable real analytic function germs ⋮ Effective Lojasiewicz gradient inequality for Nash functions with application to finite determinacy of germs ⋮ Blow-analytic equivalence of two variable real analytic function germs ⋮ Modified Nash triviality of a family of zero-sets of real polynomial mappings ⋮ Finite determinacy of non-isolated singularities ⋮ Analytically principal part of polynomials at infinity ⋮ On classification of real singularities ⋮ Equisingularity in \(\mathbb R^2\) as Morse stability in infinitesimal calculus

Cites Work

• Toroidal embeddings. I
• A theorem on almost analytic equisingularity
• Newton polyhedra and estimation of oscillating integrals
• The modified analytic trivialization of singularities
• Unnamed Item