On Hodge spectrum and multiplier ideals
The article relates the Hodge spectrum of a hypersurface singularity and the jumping number of the multiplier ideals of an effective divisor, computed at the singular point. The main result states that, under some mild restrictions, the multiplicities of the Hodge spectral numbers of a singular point and the respective inner jump multiplicities coincide. The proof relies on the motivic integration theory and the Denef-Loeser computation of the Hodge spectrum via the log resolution.
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