Exceptional divisors that are not uniruled belong to the image of the Nash map

DOI10.1017/S1474748011000156zbMath1244.14003arXiv0811.2421OpenAlexW2964167147MaRDI QIDQ5390068

Monique Lejeune-Jalabert, Ana J. Reguera-López

Publication date: 27 April 2012

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.2421

zbMATH Keywords

resolution of singularitiesarcswedgesNash mapuniruled varietyessential divisors

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Modifications; resolution of singularities (complex-analytic aspects) (32S45) Singularities of surfaces or higher-dimensional varieties (14J17) Local complex singularities (32S05)

Related Items

Coordinates at stable points of the space of arcs ⋮ The Nash problem for surfaces ⋮ Deformations of arcs and comparison of formal neighborhoods for a curve singularity ⋮ Arc spaces and wedge spaces for toric varieties ⋮ Arc spaces and the Rogers-Ramanujan identities ⋮ Nash problem for surface singularities is a topological problem ⋮ Jacobian discrepancies and rational singularities ⋮ Arcs and wedges on rational surface singularities ⋮ Three-dimensional counter-examples to the Nash problem ⋮ Arcs and wedges on rational surface singularities ⋮ The Nash problem for a toric pair and the minimal log-discrepancy ⋮ The arc space of the Grassmannian ⋮ The Nash problem and its solution: a survey

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