On Nash problem of arc.

DOI10.5802/aif.2115zbMath1080.14021OpenAlexW2318195870MaRDI QIDQ1777633

Camille Plénat

Publication date: 25 May 2005

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2005__55_3_805_0

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Modifications; resolution of singularities (complex-analytic aspects) (32S45) Singularities of surfaces or higher-dimensional varieties (14J17) Infinitesimal methods in algebraic geometry (14B10)

Related Items (8)

On the generalized Nash problem for smooth germs and adjacencies of curve singularities ⋮ The Nash problem for surfaces ⋮ Nash problem for surface singularities is a topological problem ⋮ A solution to the Nash problem on arcs for a family of quasi-rational hypersurfaces ⋮ Some Numerical Criteria for the Nash Problem on Arcs for Surfaces ⋮ The Nash problem of arcs and the rational double points \(D_{n}\) ⋮ The cohomology of line bundles of splice-quotient singularities ⋮ A class of non-rational surface singularities with bijective Nash map

Cites Work

• The Nash problem on arc families of singularities
• Taut two-dimensional singularities
• Families of arcs on rational surface singularities
• Arc structure of singularities
• Sandwiched singularities and desingularization of surfaces by normalized Nash transformations
• Valuations in Function Fields of Surfaces
• Courbes Tracees sur un Germe D'Hypersurface
• Equivalence of the Nash conjecture for primitive and sandwiched singularities
• On Isolated Rational Singularities of Surfaces

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