Families of arcs on rational surface singularities

DOI10.1007/BF02567826zbMath0867.14012OpenAlexW2053531918MaRDI QIDQ1911549

Ana J. Reguera-López

Publication date: 18 June 1996

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156131

zbMATH Keywords

desingularizationrational singularitysingular variety

Mathematics Subject Classification ID

Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Singularities of surfaces or higher-dimensional varieties (14J17)

Related Items (20)

Deforming spaces of \(m\)-jets of hypersurfaces singularities ⋮ The local Nash problem on arc families of singularities ⋮ On the generalized Nash problem for smooth germs and adjacencies of curve singularities ⋮ The Nash problem for surfaces ⋮ Families of \(m\)-jet spaces and arc spaces ⋮ Nash problem for surface singularities is a topological problem ⋮ A solution to the Nash problem on arcs for a family of quasi-rational hypersurfaces ⋮ Image of the Nash map in terms of wedges. ⋮ Some Numerical Criteria for the Nash Problem on Arcs for Surfaces ⋮ The Nash problem on arc families of singularities ⋮ Exceptional divisors that are not uniruled belong to the image of the Nash map ⋮ Beta-gamma system, pure spinors and Hilbert series of arc spaces ⋮ Arcs and wedges on rational surface singularities ⋮ On some aspects of the geometry of the space of arcs on an analytic space ⋮ A solution to the Nash problem of arcs for rational double points \(D_n\). ⋮ On Nash problem of arc. ⋮ The Nash problem of arcs and the rational double points \(D_{n}\) ⋮ Contact loci and Hironaka's order ⋮ Nash problem for stable toric varieties ⋮ A class of non-rational surface singularities with bijective Nash map

Cites Work

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• Rationale Singularitäten komplexer Flächen
• Sandwiched singularities and desingularization of surfaces by normalized Nash transformations
• Fonction de Artin et Germes de Courbes Tracees sur un Germe D'Espace Analytique
• Courbes Tracees sur un Germe D'Hypersurface
• On Isolated Rational Singularities of Surfaces
• On Rational Singuarities

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