On Igusa zeta functions of monomial ideals

Research paper by Jason Howald, Mircea Mustata, Cornelia Yuen

Indexed on: 22 Sep '06Published on: 22 Sep '06Published in: Mathematics - Algebraic Geometry


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.