Jet schemes and minimal toric embedded resolutions of rational double point singularities
Résumé
Using the structure of the jet schemes of rational double point singularities, we construct "minimal embedded toric resolutions" of these singularities. We also define, for these singularities, a correspondence between a natural class of irreducible components of the jet schemes centered at the singular locus and essential divisors for "toric embedded resolutions": These are divisors which appear on every ``minimal embedded toric resolution''. We prove that this correspondence is bijective except for the E8 singulartiy. This can be thought as a solution of an embedded Nash correspondence for rational double point singularities.
Domaines
Géométrie algébrique [math.AG]Origine | Fichiers produits par l'(les) auteur(s) |
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