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Depth and restriction of multiplier ideals - MaRDI portal

Depth and restriction of multiplier ideals (Q659921)

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scientific article; zbMATH DE number 6000003
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Depth and restriction of multiplier ideals
scientific article; zbMATH DE number 6000003

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    Depth and restriction of multiplier ideals (English)
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    24 January 2012
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    Let \(a\) be an ideal sheaf on a smooth affine variety \(X\) of dimension \(\geq 2\), \(c\) a positive rational number, \(x\) a closed point of \(X\), and \({\mathcal J}(a^c)\) the multiplier ideal sheaf of \(a\) with weight \(c\). If depth\(_{x,X} {\mathcal O}/{\mathcal J}(a^c)\geq 2\) then a formula for the restriction of \({\mathcal J}(a^c)\) near \(x\) is given.
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    multiplier ideals
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    restriction theorem
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    general hypersurface
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