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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

   

 

Multiplier ideals and integral closure of monomial ideals: An analytic approach


Authors: Jeffery D. McNeal and Yunus E. Zeytuncu
Journal: Proc. Amer. Math. Soc. 140 (2012), 1483-1493
MSC (2010): Primary 13P99, 14Q99, 32S45; Secondary 14M25, 13B22
Published electronically: August 22, 2011
MathSciNet review: 2869133
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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.


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Additional Information

Jeffery D. McNeal
Affiliation: Department of Mathematics, The Ohio State University, Columbus, Ohio 43210
Email: mcneal@math.ohio-state.edu

Yunus E. Zeytuncu
Affiliation: Department of Mathematics, Texas A&M University, College Station, Texas 77843
Email: zeytuncu@math.tamu.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-2011-11187-0
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
Article copyright: © Copyright 2011 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.