On Nash theory of arc structure of singularities

DOI10.1007/BF01764123zbMath0763.14005MaRDI QIDQ1191380

Augusto Nobile

Publication date: 27 September 1992

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

Nash varietyequisingular family of irreducible curve singularitiestruncated \(S\)- arcs

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Singularities of curves, local rings (14H20) Real-analytic and Nash manifolds (58A07)

Related Items (5)

Families of arcs on rational surface singularities ⋮ The Nash problem on arc families of singularities ⋮ Hilbert’s 16th problem on a period annulus and Nash space of arcs ⋮ AN INVERSE MAPPING THEOREM FOR BLOW-NASH MAPS ON SINGULAR SPACES ⋮ Arcs on determinantal varieties

Cites Work

• Die Approximationseigenschaften lokaler Ringe
• Arc structure of singularities
• On the solutions of analytic equations
• Déformations équisingulières des germes de courbes gauches réduites
• Studies in Equisingularity I Equivalent Singularities of Plane Algebroid Curves
• Analytic Sets as Branched Coverings
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