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arXiv 2005-09-11 0 views

On Igusa zeta functions of monomial ideals

Howald, Jason · Mustata, Mircea · Yuen, Cornelia

Original · EN

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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