An interpretation of multiplier ideals via tight closure

Author:
Shunsuke Takagi

Translated by:

Journal:
J. Algebraic Geom. **13** (2004), 393-415

DOI:
https://doi.org/10.1090/S1056-3911-03-00366-7

Published electronically:
December 4, 2003

MathSciNet review:
2047704

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Abstract | References | Additional Information

Abstract: Hara [Trans. Amer. Math. Soc. **353** (2001), 1885-1906] and Smith [Comm. Algebra **28** (2000), 5915-5929] independently proved that in a normal -Gorenstein ring of characteristic , the test ideal coincides with the multiplier ideal associated to the trivial divisor. We extend this result for a pair of a normal ring and an effective -Weil divisor on . As a corollary, we obtain the equivalence of strongly -regular pairs and pairs.

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Additional Information

**Shunsuke Takagi**

Affiliation:
Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1, Komaba, Meguro, Tokyo 153-8914, Japan

Email:
stakagi@ms.u-tokyo.ac.jp

DOI:
https://doi.org/10.1090/S1056-3911-03-00366-7

Received by editor(s):
December 17, 2001

Published electronically:
December 4, 2003