Jet schemes of rational double point singularities
Hussein MourtadaInstitut Mathématique de Jussieu-Paris Rive Gauche, Paris, France
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We prove that for large enough, the number of irreducible components of the schemes of jets centered at a point which is a double point singularity is independent of and is equal to the number of exceptional curves on the minimal resolution of the singularity. We also relate some irreducible components of the jet schemes of an singularity to its "minimal" embedded resolutions of singularities.