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On Igusa zeta functions of monomial ideals |
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| Authors: | Jason Howald Mircea Mustata Cornelia Yuen |
| Affiliation: | Department of Mathematics and Computer Science, John Carroll University, 20700 North Park Blvd., University Heights, Ohio 44118 ; Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109 ; Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109 |
| Abstract: | 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 blow-up of the affine space along the ideal. Moreover, we show that every such number is a root of the Bernstein-Sato polynomial associated to the monomial ideal. |
| Keywords: | Igusa zeta function monomial ideal Bernstein-Sato polynomial |
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