Formulas for multiplier ideals on singular varieties
Algebraic Geometry
2007-05-23 v2 Commutative Algebra
Abstract
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 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.
Cite
@article{arxiv.math/0410612,
title = {Formulas for multiplier ideals on singular varieties},
author = {Shunsuke Takagi},
journal= {arXiv preprint arXiv:math/0410612},
year = {2007}
}
Comments
16 pages, AMS-LaTeX; v.2: Some minor changes