Multiplier ideals, b-function, and spectrum of a hypersurface singularity

Details Multiplier ideals, b-function, and spectrum of a hypersurface singularity Multiplier ideals, b-function, and spectrum of a hypersurface singularity

2004-02-23

arxiv.org/abs/math/0402363v9

Mathematics

Algebraic Geometry

21 pages

Scientific paper

We prove that certain roots of the Bernstein-Sato polynomial (i.e. b-function) are jumping coefficients up to a sign, showing a partial converse of a theorem of L. Ein, R. Lazarsfeld, K.E. Smith, and D. Varolin. We also prove that certain roots are determined by a filtration on the Milnor cohomology, generalizing a theorem of B. Malgrange in the isolated singularity case. This implies a certain relation with the spectrum which is determined by the Hodge filtration, because the above filtration is related to the pole order filtration. For multiplier ideals we prove an explicit formula in the case of locally conical divisors along a stratification, generalizing a formula of Mustata in the case of hyperplane arrangements. We also give another proof of a formula of U. Walther on the b-function of a generic hyperplane arrangement, including the multiplicity of -1.

Affiliated with

Also associated with

No associations

Rating

Multiplier ideals, b-function, and spectrum of a hypersurface singularity 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 Multiplier ideals, b-function, and spectrum of a hypersurface singularity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Multiplier ideals, b-function, and spectrum of a hypersurface singularity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-349825