Arcs, valuations and the Nash map
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Publication:5711480
DOI10.1515/crll.2005.2005.588.71zbMath1082.14007arXivmath/0410526OpenAlexW2964147485MaRDI QIDQ5711480
Publication date: 6 December 2005
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0410526
Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Singularities in algebraic geometry (14B05) Valuations and their generalizations for commutative rings (13A18) Divisors, linear systems, invertible sheaves (14C20)
Related Items (19)
Motivic Poincaré series, toric singularities and logarithmic Jacobian ideals ⋮ Deforming spaces of \(m\)-jets of hypersurfaces singularities ⋮ Arc valuations on smooth varieties ⋮ The local Nash problem on arc families of singularities ⋮ 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 ⋮ Log canonical thresholds in positive characteristic ⋮ 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 ⋮ Divisorial valuations via arcs ⋮ Three-dimensional counter-examples to the Nash problem ⋮ 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 \(D_{n}\) ⋮ Contact loci and Hironaka's order ⋮ Nash problem for stable toric varieties
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