2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/102256We 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.10 pages; to appear in Proc. Amer. Math. SocAlgebraic GeometryCommutative AlgebraPrimary 14B05; Secondary 14M25text