Jet schemes of rational double point singularities

  • Hussein Mourtada

    Institut Mathématique de Jussieu-Paris Rive Gauche, Paris, France
Jet schemes of rational double point singularities cover
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Abstract

We prove that for mN, mm\in \mathbb{N},~m large enough, the number of irreducible components of the schemes of mm-jets centered at a point which is a double point singularity is independent of mm 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 E6E_6 singularity to its "minimal" embedded resolutions of singularities.