A curve selection lemma in spaces of arcs and the image of the Nash map
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Publication:3379051
DOI10.1112/S0010437X05001582zbMath1118.14004OpenAlexW2011613373WikidataQ124798771 ScholiaQ124798771MaRDI QIDQ3379051
Publication date: 6 April 2006
Published in: Compositio Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1112/s0010437x05001582
Singularities in algebraic geometry (14B05) Modifications; resolution of singularities (complex-analytic aspects) (32S45) Local complex singularities (32S05) Schemes and morphisms (14A15)
Related Items (25)
Factorization of complete ideals in normal birational extensions in dimension two ⋮ Small irreducible components of arc spaces in positive characteristic ⋮ On the nilpotent functions at a non-degenerate arc ⋮ Arcology ⋮ On the generalized Nash problem for smooth germs and adjacencies of curve singularities ⋮ Coordinates at stable points of the space of arcs ⋮ The Nash problem for surfaces ⋮ Families of \(m\)-jet spaces and arc spaces ⋮ Deformations of arcs and comparison of formal neighborhoods for a curve singularity ⋮ Arc spaces and wedge spaces for toric varieties ⋮ Nash problem for surface singularities is a topological problem ⋮ The minimal formal model of a curve singularity is zero-dimensional ⋮ A family of quai-rational hypersurfaces with bijective Nash map ⋮ Jacobian discrepancies and rational singularities ⋮ 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 ⋮ Exceptional divisors that are not uniruled belong to the image of the Nash map ⋮ Greenberg Approximation and the Geometry of Arc Spaces ⋮ Arcs and wedges on rational surface singularities ⋮ Three-dimensional counter-examples to the Nash problem ⋮ Arcs and wedges on rational surface singularities ⋮ Differentials on the arc space ⋮ Embedding codimension of the space of arcs ⋮ Nash blow-ups of jet schemes ⋮ Corrigendum: A curve selection lemma in spaces of arcs and the image of the Nash map
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