Open Access
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

Download Citation

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

Vol.192 • 2008
Back to Top