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Pré-Publication, Document De Travail Communications in Algebra Année : 2018

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.
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Dates et versions

hal-01255233 , version 1 (29-11-2021)

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Hussein Mourtada, Camille Plenat. Jet schemes and minimal toric embedded resolutions of rational double point singularities. 2015. ⟨hal-01255233⟩
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