On the local zeta functions and the b-functions of certain hyperplane arrangements
Algebraic Geometry
2014-02-26 v4
Abstract
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.
Keywords
Cite
@article{arxiv.1002.0629,
title = {On the local zeta functions and the b-functions of certain hyperplane arrangements},
author = {Nero Budur and Morihiko Saito and Sergey Yuzvinsky},
journal= {arXiv preprint arXiv:1002.0629},
year = {2014}
}
Comments
21 pages, minor changes, to appear in J. London Math. Soc