Multiplier ideals and integral closure of monomial ideals: An analytic approach
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- by Jeffery D. McNeal and Yunus E. Zeytuncu
- Proc. Amer. Math. Soc. 140 (2012), 1483-1493
- DOI: https://doi.org/10.1090/S0002-9939-2011-11187-0
- Published electronically: August 22, 2011
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Abstract:
Proofs of two results about a monomial ideal – describing membership in auxiliary ideals associated to the monomial ideal – are given which do not invoke resolution of singularities. The AM–GM inequality is used as a substitute for taking a log resolution of the monomial ideal.References
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Bibliographic Information
- Jeffery D. McNeal
- Affiliation: Department of Mathematics, The Ohio State University, Columbus, Ohio 43210
- MR Author ID: 267191
- Email: mcneal@math.ohio-state.edu
- Yunus E. Zeytuncu
- Affiliation: Department of Mathematics, Texas A&M University, College Station, Texas 77843
- MR Author ID: 796075
- Email: zeytuncu@math.tamu.edu
- Received by editor(s): October 22, 2009
- Received by editor(s) in revised form: January 11, 2011
- Published electronically: August 22, 2011
- Additional Notes: Research of both authors was partially supported by NSF grants
- Communicated by: Ted Chinburg
- © Copyright 2011
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 140 (2012), 1483-1493
- MSC (2010): Primary 13P99, 14Q99, 32S45; Secondary 14M25, 13B22
- DOI: https://doi.org/10.1090/S0002-9939-2011-11187-0
- MathSciNet review: 2869133