Formulas for multiplier ideals on singular varieties

Details Formulas for multiplier ideals on singular varieties Formulas for multiplier ideals on singular varieties

2004-10-29

arxiv.org/abs/math/0410612v2

Mathematics

Algebraic Geometry

16 pages, AMS-LaTeX; v.2: Some minor changes

Scientific paper

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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