Depths of multiplier ideals and integral closure
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Abstract:
In this note, we study how the depths of multiplier ideals behave under restriction. We also study possible values of the depths of multiplier ideals in the filtrations induced from maximal ideal sheaves. We then use it to give a sufficient condition for the integral closedness of the product of a multiplier ideal and a power of maximal ideal sheaf in the spirit of Huneke.References
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Additional Information
- Seunghun Lee
- Affiliation: Department of Mathematics, Konkuk University, Kwangjin-Gu Hwayang-dong 1,Seoul 143-701, Korea
- MR Author ID: 1170640
- Email: mbrs@konkuk.ac.kr
- Received by editor(s): April 6, 2007
- Received by editor(s) in revised form: August 18, 2007
- Published electronically: December 4, 2008
- Additional Notes: This research was supported by R14-2002-007-01001-0
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 361 (2009), 2665-2677
- MSC (2000): Primary 14E99; Secondary 13C15, 13B22
- DOI: https://doi.org/10.1090/S0002-9947-08-04617-5
- MathSciNet review: 2471934