AN INEQUALITY INVOLVING TIGHT CLOSURE AND PARAMETER IDEALS
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 are going to discuss in brief and without proof the equality case in Theorem 1.1. Before we can do this, we need to establish a notation: The notation (a1; a2; :::; an) (b1; b2; :::; bn) is going to mean that for every two numbers i and j from the set f1; 2; :::; ng ; we have aibj = biaj: Note that if all numbers b1; b2; :::; bn are nonzero, then (a1; a2; :::; an) (b1; b2; :::; bn) is equiva...
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ژورنال
عنوان ژورنال: Bulletin of the London Mathematical Society
سال: 2004
ISSN: 0024-6093,1469-2120
DOI: 10.1112/s0024609303002923