An interpretation of multiplier ideals via tight closure
نویسندگان
چکیده
منابع مشابه
An Interpretation of Multiplier Ideals via Tight Closure
Hara [Ha3] and Smith [Sm2] independently proved that in a normal Q-Gorenstein ring of characteristic p ≫ 0, the test ideal coincides with the multiplier ideal associated to the trivial divisor. We extend this result for a pair (R,∆) of a normal ring R and an effective Q-Weil divisor ∆ on SpecR. As a corollary, we obtain the equivalence of strongly F-regular pairs and klt pairs.
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We introduce a new variant of tight closure associated to any fixed ideal a, which we call a-tight closure, and study various properties thereof. In our theory, the annihilator ideal τ(a) of all a-tight closure relations, which is a generalization of the test ideal in the usual tight closure theory, plays a particularly important role. We prove the correspondence of the ideal τ(a) and the multi...
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ژورنال
عنوان ژورنال: Journal of Algebraic Geometry
سال: 2004
ISSN: 1056-3911,1534-7486
DOI: 10.1090/s1056-3911-03-00366-7