%0 Journal Article
%T Discreteness and rationality of $F$-jumping numbers on singular varieties
%A Manuel Blickle
%A Karl Schwede
%A Shunsuke Takagi
%A Wenliang Zhang
%J Mathematics
%D 2009
%I arXiv
%R 10.1007/s00208-009-0461-2
%X We prove that the $F$-jumping numbers of the test ideal $\tau(X; \Delta, \ba^t)$ are discrete and rational under the assumptions that $X$ is a normal and $F$-finite variety over a field of positive characteristic $p$, $K_X+\Delta$ is $\bQ$-Cartier of index not divisible $p$, and either $X$ is essentially of finite type over a field or the sheaf of ideals $\ba$ is locally principal. This is the largest generality for which discreteness and rationality are known for the jumping numbers of multiplier ideals in characteristic zero.
%U http://arxiv.org/abs/0906.4679v2