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2008 A new version of $\mathfrak{a}$-tight closure
Adela Vraciu
Nagoya Math. J. 192: 1-25 (2008).

Abstract

Hara and Yoshida introduced a notion of $\mathfrak{a}$-tight closure in 2003, and they proved that the test ideals given by this operation correspond to multiplier ideals. However, their operation is not a true closure. The alternative operation introduced here is a true closure. Moreover, we define a joint Hilbert-Kunz multiplicity that can be used to test for membership in this closure. We study the connections between the Hara-Yoshida operation and the one introduced here, primarily from the point of view of test ideals. We also consider variants with positive real exponents.

Citation

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Adela Vraciu. "A new version of $\mathfrak{a}$-tight closure." Nagoya Math. J. 192 1 - 25, 2008.

Information

Published: 2008
First available in Project Euclid: 22 December 2008

zbMATH: 1157.13002
MathSciNet: MR2477609

Subjects:
Primary: 13A35

Rights: Copyright © 2008 Editorial Board, Nagoya Mathematical Journal

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