Abstract. We show that the restriction to a smooth transversal section commutes to the computation of multiplier ideals and V-filtrations. As an application we prove the constancy of the spectrum along any stratum of a Whitney regular stratification.

Etant donn6 un germe d'application analytique f: (~2, 0)~(~E, 0) d6finissant un germe de courbe plane f-1(0) topologiquement 6quivalent fi xa+ yb=0, nous 9 ~{x,y} la dimension de la d6formation semi-universelle de notons z(f) = dlrne~ fr') f-1(0) et Zmin le minimum des entiers z(f) lorsque f parcourt l'ensemble de tels germes.

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