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2009 Test ideals vs. multiplier ideals
Mircea Mustaţă, Ken-ichi Yoshida
Nagoya Math. J. 193: 111-128 (2009).

Abstract

The generalized test ideals introduced in [HY] are related to multiplier ideals via reduction to characteristic $p$. In addition, they satisfy many of the subtle properties of the multiplier ideals, which in characteristic zero follow via vanishing theorems. In this note we give several examples to emphasize the different behavior of test ideals and multiplier ideals. Our main result is that every ideal in an $F$-finite regular local ring can be written as a generalized test ideal. We also prove the semicontinuity of $F$-pure thresholds (though the analogue of the Generic Restriction Theorem for multiplier ideals does not hold).

Citation

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Mircea Mustaţă. Ken-ichi Yoshida. "Test ideals vs. multiplier ideals." Nagoya Math. J. 193 111 - 128, 2009.

Information

Published: 2009
First available in Project Euclid: 3 March 2009

zbMATH: 1162.13004
MathSciNet: MR2502910

Subjects:
Primary: 13A35
Secondary: 14B05

Rights: Copyright © 2009 Editorial Board, Nagoya Mathematical Journal

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Vol.193 • 2009
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