An interpretation of multiplier ideals via tight closure
An interpretation of multiplier ideals via tight closure
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DOI：
10.1090/s1056-3911-03-00366-7
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发表时间：
2001-11
影响因子：
1.8
通讯作者：
S. Takagi
中科院分区：
文献类型：
--
作者：
S. Takagi
Hara [Ha 3]和Smith [Sm 2]分别证明了在特征为p 0的正规Q-Gorenstein环中，检验理想与平凡因子的乘子理想重合.我们将这个结果推广到SpecR上的正规环R和有效Q-Weil因子ε的对（R，ε）。作为推论，我们得到了强F-正则对与klt对的等价性。
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.