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Multiplier ideals and filtered D-modules

Nero Budur
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Abstract

We give a Hodge-theoretic interpretation of the multiplier ideal of an effective divisor on a smooth complex variety. More precisely, we show that the associated graded coherent sheaf with respect to the jumping-number filtration can be recovered from the smallest piece of M. Saito's Hodge filtration of the D-module of vanishing cycles.

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BibTeXRIS

Nero Budur. 2003-05-16. Multiplier ideals and filtered D-modules. https://arxiv.org/abs/math/0305247

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