2004/10/29 by Shunsuke Takagi, Takagi, Shunsuke
Mathematics · #13A35 #14B05 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.AG #msc:13A35 #msc:14B05
paper · pdf · doi:10.48550/arxiv.math/0410612
16 pages, AMS-LaTeX; v.2: Some minor changes
arxiv created 2005/01/31 · arxiv updated 2009/12/01
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.