On Igusa zeta functions of monomial ideals

Howald, Jason; Mustaţǎ, Mircea; Yuen, Cornelia

doi:10.1090/S0002-9939-07-08957-5

On Igusa zeta functions of monomial ideals
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by Jason Howald, Mircea Mustaţǎ and Cornelia Yuen PDF

Proc. Amer. Math. Soc. 135 (2007), 3425-3433 Request permission

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 blow-up of the affine space 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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