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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Multiplier ideals of monomial ideals


Author: J. A. Howald
Journal: Trans. Amer. Math. Soc. 353 (2001), 2665-2671
MSC (2000): Primary 14Q99; Secondary 14M25
Published electronically: March 2, 2001
MathSciNet review: 1828466
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Abstract:

In this note we discuss a simple algebraic calculation of the multiplier ideal associated to a monomial ideal in affine $n$-space. We indicate how this result allows one to compute not only the multiplier ideal but also the log canonical threshold of an ideal in terms of its Newton polygon.


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Additional Information

J. A. Howald
Affiliation: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48104
Email: jahowald@math.lsa.umich.edu

DOI: http://dx.doi.org/10.1090/S0002-9947-01-02720-9
PII: S 0002-9947(01)02720-9
Received by editor(s): April 10, 2000
Published electronically: March 2, 2001
Additional Notes: I would like to thank Robert Lazarsfeld for suggesting this problem, and for many valuable discussions.
Article copyright: © Copyright 2001 American Mathematical Society