Depths of multiplier ideals and integral closure

Lee, Seunghun

doi:10.1090/S0002-9947-08-04617-5

Depths of multiplier ideals and integral closure
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Trans. Amer. Math. Soc. 361 (2009), 2665-2677 Request permission

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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