An interpretation of multiplier ideals via tight closure

Shunsuke Takagi

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arXiv · math/0111187

An interpretation of multiplier ideals via tight closure

Shunsuke Takagi

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Abstract

Hara and Smith independently proved that in a normal $\mQ$-Gorenstein ring of characteristic $p \gg 0$, the test ideal coincides with the multiplier ideal associated to the trivial divisor. We extend this result for a pair $(R, Δ)$ of a normal ring $R$ and an effective $\mQ$-Weil divisor $Δ$ on $\Spec R$. As a corollary, we obtain the equivalence of strongly F-regular pairs and klt pairs.

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BibTeX RIS

Shunsuke Takagi. 2002-11-18. An interpretation of multiplier ideals via tight closure. https://arxiv.org/abs/math/0111187

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