On Igusa zeta functions of monomial ideals

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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.
10 pages; to appear in Proc. Amer. Math. Soc

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Algebraic Geometry, Commutative Algebra, Primary 14B05; Secondary 14M25

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http://salesiana.dossiersoluciones.com/handle/123456789/102256

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0509243
 http://arxiv.org/abs/math/0509243

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arXiv