Spectrum and multiplier ideals of arbitrary subvarieties

Details Spectrum and multiplier ideals of arbitrary subvarieties Spectrum and multiplier ideals of arbitrary subvarieties

2007-05-29

arxiv.org/abs/0705.4197v1

Mathematics

Algebraic Geometry

17 pages

Scientific paper

We introduce a spectrum for arbitrary varieties. This generalizes the definition by Steenbrink for hypersurfaces. In the isolated complete intersection singularity case, it coincides with the one given by Ebeling and Steenbrink except for the coefficients of integral exponents. We show a relation to the graded pieces of the multiplier ideals by using a relation to the filtration $V$ of Kashiwara and Malgrange. This implies a partial generalization of a theorem of Budur in the hypersurface case. The point is to consider the direct sum of the graded pieces of the multiplier ideals as a module over the algebra defining the normal cone of the subvariety. We also give a combinatorial description in the case of monomial ideals.

Affiliated with

Also associated with

No associations

Rating

Spectrum and multiplier ideals of arbitrary subvarieties does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Spectrum and multiplier ideals of arbitrary subvarieties, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spectrum and multiplier ideals of arbitrary subvarieties will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-499224