The local Nash problem on arc families of singularities

DOI10.5802/aif.2210zbMath1116.14030arXivmath/0507530OpenAlexW1613955471MaRDI QIDQ877539

Shihoko Ishii

Publication date: 24 April 2007

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

Full work available at URL: https://arxiv.org/abs/math/0507530

zbMATH Keywords

singularitiesNash problemarc space

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Singularities of surfaces or higher-dimensional varieties (14J17)

Related Items (12)

Deforming spaces of \(m\)-jets of hypersurfaces singularities ⋮ The Nash problem for surfaces ⋮ Families of \(m\)-jet spaces and arc spaces ⋮ Nash problem for surface singularities is a topological problem ⋮ Jacobian discrepancies and rational singularities ⋮ A solution to the Nash problem on arcs for a family of quasi-rational hypersurfaces ⋮ Geometric motivic Poincaré series of quasi-ordinary singularities ⋮ The Nash problem for a toric pair and the minimal log-discrepancy ⋮ The arc space of the Grassmannian ⋮ The Nash problem of arcs and the rational double points \(D_{n}\) ⋮ Nash problem for stable toric varieties ⋮ The Nash problem and its solution: a survey

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• Topological Types of Quasi-Ordinary Singularities
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• Arcs, valuations and the Nash map

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