Generalized test ideals and symbolic powers
arXiv:math/0701929
Abstract
Hochster and Huneke proved in \cite{HH5} fine behaviors of symbolic powers of ideals in regular rings, using the theory of tight closure. In this paper, we use generalized test ideals, which are a characteristic analogue of multiplier ideals, to give a slight generalization of Hochster-Huneke's results.
13 pages; v.2: minor changes, to appear in Michigan Math. J