Formulas for multiplier ideals on singular varieties
Abstract
Description
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.
16 pages, AMS-LaTeX; v.2: Some minor changes
16 pages, AMS-LaTeX; v.2: Some minor changes