On Igusa zeta functions of monomial ideals
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- by Jason Howald, Mircea Mustaţǎ and Cornelia Yuen PDF
- Proc. Amer. Math. Soc. 135 (2007), 3425-3433 Request permission
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.References
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Additional Information
- Jason Howald
- Affiliation: Department of Mathematics and Computer Science, John Carroll University, 20700 North Park Blvd., University Heights, Ohio 44118
- Address at time of publication: Department of Mathematics, SUNY Potsdam, 44 Pierrepont Avenue, Potsdam, New York 13676-2294
- Email: howaldja@potsdam.edu
- Mircea Mustaţǎ
- Affiliation: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109
- Email: mmustata@umich.edu
- Cornelia Yuen
- Affiliation: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109
- Address at time of publication: Department of Mathematics, University of Kentucky, 825 Patterson Office Tower, Lexington, Kentucky 40506
- Email: cyuen@ms.uky.edu
- Received by editor(s): June 15, 2006
- Published electronically: August 6, 2007
- Additional Notes: The research of the second author was partially supported by NSF grant DMS 0500127
- Communicated by: Bernd Ulrich
- © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 135 (2007), 3425-3433
- MSC (2000): Primary 14B05; Secondary 14M25
- DOI: https://doi.org/10.1090/S0002-9939-07-08957-5
- MathSciNet review: 2336554