Ideals d'arrels pe-èsimes de corbes planes en característica positiva

A common approach to studying algebraic varieties is through algebraic invariantsthat measure their singularities. Over the complex numbers, a celebrated exampleof such invariants include the multiplier ideals and the jumping numbers. In positivecharacteristic, their counterparts are the test ideals andF-jumping numbers. In thiswork, we compute the test ideals andF-jumping numbers of quasi-homogeneousplane curves, as well as their one-monomial constant Milnor number deformations,for infinitely many characteristicsp>0. In these cases, we see that the test idealsare the modulopreduction of the multiplier ideals.