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Soit le localisé de l’anneau des polynômes à trois variables sur le corps de caractéristique nulle. Nous construisons une valuation divisorielle de , nous calculons un système minimal de générateurs de la -algèbre associée à la filtration -adique. Ce système est infini : n’est pas noethérien.
We prove the uniqueness of crepant resolutions for some quotient singularities and for
some nilpotent orbits. The finiteness of non-isomorphic symplectic resolutions for 4-
dimensional symplectic singularities is proved. We also give an example of a symplectic
singularity which admits two non-equivalent symplectic resolutions.
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