Multiplier ideals and filtered D-modules

Details Multiplier ideals and filtered D-modules Multiplier ideals and filtered D-modules

2003-05-16

arxiv.org/abs/math/0305247v1

Mathematics

Algebraic Geometry

5 pages

Scientific paper

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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