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Multiplier ideals in two-dimensional local rings with rational singularities

Multiplier ideals in two-dimensional local rings with rational singularities

The aim of this paper is to study jumping numbers and multiplier ideals of any ideal in a two-dimensional local ring with a rational singularity.In particular, we reveal which information encoded in a multiplier ideal determines the next jumping number.This leads to an algorithm to compute sequentially the jumping numbers …