On Hodge spectrum and multiplier ideals

Details On Hodge spectrum and multiplier ideals On Hodge spectrum and multiplier ideals

2002-10-16

arxiv.org/abs/math/0210254v2

Mathematics

Algebraic Geometry

shorter final version to appear in Math. Ann

Scientific paper

We describe a relation between two invariants that measure the complexity of
a hypersurface singularity. One is the Hodge spectrum which is related to the
monodromy and the Hodge filtration on the cohomology of the Milnor fiber. The
other is the multiplier ideal, having to do with log resolutions.

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