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    Formulas for multiplier ideals on singular varieties

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    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 pp 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.Comment: 16 pages, AMS-LaTeX; v.2: Some minor change