On the local zeta functions and the b-functions of certain hyperplane arrangements

Details On the local zeta functions and the b-functions of certain hyperplane arrangements On the local zeta functions and the b-functions of certain hyperplane arrangements

2010-02-03

arxiv.org/abs/1002.0629v4

Mathematics

Algebraic Geometry

21 pages, minor changes, to appear in J. London Math. Soc

Scientific paper

Conjectures of J. Igusa for p-adic local zeta functions and of J. Denef and F. Loeser for topological local zeta functions assert that (the real part of) the poles of these local zeta functions are roots of the Bernstein-Sato polynomials (i.e. the b-functions). We prove these conjectures for certain hyperplane arrangements, including the case of reduced hyperplane arrangements in three-dimensional affine space.

Affiliated with

Also associated with

No associations

Rating

On the local zeta functions and the b-functions of certain hyperplane arrangements 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 On the local zeta functions and the b-functions of certain hyperplane arrangements, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the local zeta functions and the b-functions of certain hyperplane arrangements will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-601028