Singularities, the space of arcs and applications to birational geometry
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Publication:6608481
DOI10.1007/978-3-031-31925-9_3zbMATH Open1545.14022MaRDI QIDQ6608481
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Publication date: 20 September 2024
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- Nash problem for surface singularities is a topological problem
- Algebraization and Tannaka duality
- A solution to the Nash problem of arcs for rational double points \(D_n\).
- A solution to the Nash problem on arcs for a family of quasi-rational hypersurfaces
- The Nash problem for a toric pair and the minimal log-discrepancy
- Arc spaces and chiral symplectic cores
- The local Nash problem on arc families of singularities
- Divisorial valuations via arcs
- Families of higher dimensional germs with bijective Nash map
- Resolution of singularities of threefolds in positive characteristic. I: Reduction to local uniformization on Artin-Schreier and purely inseparable coverings
- Local uniformization on algebraic surfaces over ground fields of characteristic \(p\neq 0\)
- Rationalité des singularités canoniques
- On Nash theory of arc structure of singularities
- Non-Archimedean integrals and stringy Euler numbers of log-terminal pairs
- Germs of arcs on singular algebraic varieties and motivic integration
- Jet schemes, log discrepancies and inversion of adjunction
- Image of the Nash map in terms of wedges.
- Stringy zeta functions for \(\mathbb Q\)-Gorenstein varieties
- The Nash problem on arc families of singularities
- Versal deformations of formal arcs
- Log canonical thresholds in positive characteristic
- Jet closures and the local isomorphism problem
- The arc space of a toric variety
- Minimal generating system, essential divisors and \(G\)-desingularisation of toric varieties
- Families of arcs on rational surface singularities
- Arc structure of singularities
- The Nash problem for surfaces
- Mather discrepancy and the arc spaces
- Essential divisors, essential components of singular toric varieties
- Motivic exponential integrals and a motivic Thom-Sebastiani theorem
- Triviality of arc closures and the local isomorphism problem
- Foundations of the minimal model program
- Zeta functions and oscillatory integrals for meromorphic functions
- Singularities with the highest Mather minimal log discrepancy
- Jacobian discrepancies and rational singularities
- Resolution of singularities of an algebraic variety over a field of characteristic zero. I
- Stringy Hodge numbers of varieties with Gorenstein canonical singularities
- Zeta functions and ``Kontsevich invariants on singular varieties.
- A beautiful mind. Translated from the American original by C. Plieninger und und Anja Hansen-Schmidt.
- Singularities with respect to Mather-Jacobian discrepancies
- Geometric Properties of Jet Schemes
- Introduction to Toric Varieties. (AM-131)
- A curve selection lemma in spaces of arcs and the image of the Nash map
- Lectures on Resolution of Singularities (AM-166)
- A class of non-rational surface singularities with bijective Nash map
- Jet schemes, arc spaces and the Nash problem
- Some Numerical Criteria for the Nash Problem on Arcs for Surfaces
- Smoothness and jet schemes
- Existence of minimal models for varieties of log general type
- Nash problem for stable toric varieties
- Flip Theorem and the Existence of Minimal Models for 3-Folds
- Néron Models
- Geometric Invariant Theory
- 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
- Stringy invariants of normal surfaces
- Introduction to Singularities
- Singularities in arbitrary characteristic via jet schemes
- Inversion of adjunction for local complete intersection varieties
- A boundedness conjecture for minimal log discrepancies on a fixed germ
- Courbes Tracees sur un Germe D'Hypersurface
- Contact loci in arc spaces
- Nash problem for quotient surface singularities
- Isomorphisms of jet schemes
- Arcs and wedges on sandwiched surface singularities
- Exceptional divisors that are not uniruled belong to the image of the Nash map
- Three-dimensional counter-examples to the Nash problem
- Bijectiveness of the Nash Map for Quasi-Ordinary Hypersurface Singularities
- The Jet Scheme of a Monomial Scheme
- Arc spaces of cA-type singularities
- Jet schemes of homogeneous hypersurfaces
- Rational points in Henselian discrete valuation rings
- On Isolated Rational Singularities of Surfaces
- Arcs, valuations and the Nash map
- Arcs and wedges on rational surface singularities
- Jet schemes of locally complete intersection canonical singularities.
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