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Abstract des Vortrages von Víctor González Alonso

Effective computation of multiplier ideals on rational surface singularities

After introducing the general definitions of multiplier ideals and jumping numbers, I will explain some new results concerning their computation in the case of rational surface singularities. More precisely, I will focus on two methods (an iterative one and a direct one) to compute the whole set of jumping numbers (with their multiplicities) of any ideal sheaf around a rational surface singularity. This is a joint work with M. Alberich-Carramiñana, J. Álvarez Montaner and F. Dachs-Cadefau.