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Depths of multiplier ideals and integral closure
Author(s):
Seunghun
Lee
Journal:
Trans. Amer. Math. Soc.
361
(2009),
2665-2677.
MSC (2000):
Primary 14E99;
Secondary 13C15, 13B22
Posted:
December 4, 2008
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Additional information
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.
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Additional Information:
Seunghun
Lee
Affiliation:
Department of Mathematics, Konkuk University, Kwangjin-Gu Hwayang-dong 1, Seoul 143-701, Korea
Email:
mbrs@konkuk.ac.kr
DOI:
10.1090/S0002-9947-08-04617-5
PII:
S 0002-9947(08)04617-5
Keywords:
Multiplier ideal,
depth,
integral closure
Received by editor(s):
April 6, 2007
Received by editor(s) in revised form:
August 18, 2007
Posted:
December 4, 2008
Additional Notes:
This research was supported by R14-2002-007-01001-0
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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