The Nash problem on arc families of singularities
From MaRDI portal
Publication:1430448
DOI10.1215/S0012-7094-03-12034-7zbMath1052.14011arXivmath/0207171OpenAlexW2023083816MaRDI QIDQ1430448
Publication date: 27 May 2004
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0207171
Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Singularities in algebraic geometry (14B05) Singularities of surfaces or higher-dimensional varieties (14J17) Families, moduli, classification: algebraic theory (14J10) Divisors, linear systems, invertible sheaves (14C20) Formal neighborhoods in algebraic geometry (14B20)
Related Items
The arc space of a toric variety, Deforming spaces of \(m\)-jets of hypersurfaces singularities, Small irreducible components of arc spaces in positive characteristic, Equivalence of the Nash conjecture for primitive and sandwiched singularities, An introduction to 𝑝-adic and motivic integration, zeta functions and invariants of singularities, On the nilpotent functions at a non-degenerate arc, Arcology, The local Nash problem on arc families of singularities, Coordinates at stable points of the space of arcs, The Nash problem for surfaces, Families of \(m\)-jet spaces and arc spaces, Arc spaces and wedge spaces for toric varieties, On the Nash problem for terminal threefolds of type cA/r, Nash problem for surface singularities is a topological problem, Hilbert basis resolutions for three-dimensional canonical cyclic quotient singularities, Jet closures and the local isomorphism problem, Local uniformization and arc spaces, Nash’s work in algebraic geometry, Jacobian discrepancies and rational singularities, Mather discrepancy and the arc spaces, Motivic volumes of fibers of tropicalization, The embedded Nash problem of birational models of rational triple singularities, 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, Motivic integration on smooth rigid varieties and invariants of degenerations, Exceptional divisors that are not uniruled belong to the image of the Nash map, Greenberg Approximation and the Geometry of Arc Spaces, Jet schemes of normal toric surfaces, Three-dimensional counter-examples to the Nash problem, Arcs and wedges on rational surface singularities, On some aspects of the geometry of the space of arcs on an analytic space, Jet schemes of toric surfaces, Kolchin's irreducibility theorem., Jet schemes and minimal toric embedded resolutions of rational double point singularities, A solution to the Nash problem of arcs for rational double points \(D_n\)., The Nash problem for a toric pair and the minimal log-discrepancy, On Nash problem of arc., The arc space of the Grassmannian, Jet schemes and invariant theory, The Nash problem of arcs and the rational double points \(D_{n}\), Hilbert’s 16th problem on a period annulus and Nash space of arcs, Unnamed Item, Generalized differentials and prolongation spaces, Contact loci and Hironaka's order, Differentials on the arc space, Geometric Properties of Jet Schemes, The Nash problem and its solution: a survey, Finite formal model of toric singularities, Corrigendum: A curve selection lemma in spaces of arcs and the image of the Nash map, A class of non-rational surface singularities with bijective Nash map, Holomorphic arcs on singularities, Arquile Varieties – Varieties Consisting of Power Series in a Single Variable
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On Nash theory of arc structure of singularities
- Germs of arcs on singular algebraic varieties and motivic integration
- Minimal generating system, essential divisors and \(G\)-desingularisation of toric varieties
- Families of arcs on rational surface singularities
- Arc structure of singularities
- Essential divisors, essential components of singular toric varieties
- On the solutions of analytic equations
- The intermediate Jacobian of the cubic threefold
- Introduction to Toric Varieties. (AM-131)
- On the Valuations Centered in a Local Domain
- Fonction de Artin et Germes de Courbes Tracees sur un Germe D'Espace Analytique
- Singularities of pairs via jet schemes
- Families of smooth curves on surface singularities and wedges
- Courbes Tracees sur un Germe D'Hypersurface
- Nonrational Hypersurfaces
- Arcs and wedges on sandwiched surface singularities
- All toric local complete intersection singularities admit projective crepant resolutions