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arXiv:math/0410612 [math.AG]AbstractReferencesReviewsResources

Formulas for multiplier ideals on singular varieties

Shunsuke Takagi

Published 2004-10-29, updated 2005-01-31Version 2

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.

Comments: 16 pages, AMS-LaTeX; v.2: Some minor changes
Categories: math.AG, math.AC
Subjects: 13A35, 14B05
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