We prove a generalization of Demailly-Ein-Lazarsfeld's subadditivity formula and Mustaţǎ'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 (2006) studied this question.
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