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Formulas for multiplier ideals on singular varieties
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 128, Number 6, December 2006
- pp. 1345-1362
- 10.1353/ajm.2006.0049
- Article
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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.