On Igusa zeta functions of monomial ideals
classification
🧮 math.AG
math.AC
keywords
idealmonomialigusazetaalongassociatedbernstein-satoblowing-up
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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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