Three-dimensional counter-examples to the Nash problem
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Publication:5396102
DOI10.1112/S0010437X13007252zbMath1285.14013arXiv1205.0603OpenAlexW2964048765MaRDI QIDQ5396102
Publication date: 5 February 2014
Published in: Compositio Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1205.0603
Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Rational and birational maps (14E05) Arcs and motivic integration (14E18)
Related Items (14)
Deforming spaces of \(m\)-jets of hypersurfaces singularities ⋮ Arcology ⋮ Coordinates at stable points of the space of arcs ⋮ The Nash problem for surfaces ⋮ Families of \(m\)-jet spaces and arc spaces ⋮ Normalized Berkovich spaces and surface singularities ⋮ Arc spaces and wedge spaces for toric varieties ⋮ On the Nash problem for terminal threefolds of type cA/r ⋮ Nash’s work in algebraic geometry ⋮ Jacobian discrepancies and rational singularities ⋮ The embedded Nash problem of birational models of rational triple singularities ⋮ The arc space of the Grassmannian ⋮ The Nash problem and its solution: a survey ⋮ Holomorphic arcs on singularities
Cites Work
- Divisorial valuations via arcs
- Families of higher dimensional germs with bijective Nash map
- Embeddings of submanifolds and normal bundles
- Germs of arcs on singular algebraic varieties and motivic integration
- The Nash problem on arc families of singularities
- On minimal log discrepancies
- Arc structure of singularities
- Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Troisième partie). Rédigé avec la colloboration de J. Dieudonné
- Rational points in Henselian discrete valuation rings
- A curve selection lemma in spaces of arcs and the image of the Nash map
- Classification of Three-Dimensional Flips
- Contact loci in arc spaces
- Factorial threefold hypersurfaces
- Exceptional divisors that are not uniruled belong to the image of the Nash map
- Arcs, valuations and the Nash map
- Defect of a nodal hypersurface
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