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Formulas for multiplier ideals on singular varieties

Shunsuke Takagi
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Abstract

We prove a generalization of Demailly-Ein-Lazarsfeld's subadditivity formula and Mustata's summation formula for multiplier ideals to the case of singular varieties, using characteristic $p$ methods. As an application of our formula, we improve Hochster-Huneke's result on the growth of symbolic powers of ideals in singular affine algebras.

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Shunsuke Takagi. 2005-01-31. Formulas for multiplier ideals on singular varieties. https://arxiv.org/abs/math/0410612

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