Strong test modules and multiplier ideals

Details Strong test modules and multiplier ideals Strong test modules and multiplier ideals

2003-03-26

arxiv.org/abs/math/0303334v1

Mathematics

Commutative Algebra

10 pages, to appear in manuscripta mathematica

Scientific paper

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.

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