Strong test modules and multiplier ideals
arXiv:math/0303334
Abstract
We introduce the notion of strong test module and show that a large number of such modules appear in the tight closure theory of complete domains: the test ideal (this has already been known), the parameter test module, and the module of relative test elements. They also appear as certain multiplier ideals, a concept of interest in algebraic geometry.
10 pages, to appear in manuscripta mathematica