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On Igusa zeta functions of monomial ideals

Jason Howald·Mircea Mustata·Cornelia Yuen
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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.

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Jason Howald, Mircea Mustata, Cornelia Yuen. 2006-09-22. On Igusa zeta functions of monomial ideals. https://arxiv.org/abs/math/0509243

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