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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Multiplier ideals of monomial ideals
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by J. A. Howald PDF
Trans. Amer. Math. Soc. 353 (2001), 2665-2671 Request permission

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
  • 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.
  • © Copyright 2001 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 353 (2001), 2665-2671
  • MSC (2000): Primary 14Q99; Secondary 14M25
  • DOI: https://doi.org/10.1090/S0002-9947-01-02720-9
  • MathSciNet review: 1828466