On Igusa zeta functions of monomial ideals
Algebraic Geometry
2007-05-23 v4 Commutative Algebra
Abstract
We show that the real parts of the poles of the Igusa zeta function of a monomial ideal can be computed from the torus-invariant divisors on the normalized blowing-up along the ideal. Moreover, we show that every such number is a root of the Bernstein-Sato polynomial associated to the monomial ideal.
Keywords
Cite
@article{arxiv.math/0509243,
title = {On Igusa zeta functions of monomial ideals},
author = {Jason Howald and Mircea Mustata and Cornelia Yuen},
journal= {arXiv preprint arXiv:math/0509243},
year = {2007}
}
Comments
10 pages; to appear in Proc. Amer. Math. Soc