On Igusa zeta functions of monomial ideals

Details On Igusa zeta functions of monomial ideals On Igusa zeta functions of monomial ideals

2005-09-11

arxiv.org/abs/math/0509243v4

Mathematics

Algebraic Geometry

10 pages; to appear in Proc. Amer. Math. Soc

Scientific paper

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.

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