Generalized test ideals and symbolic powers

Details Generalized test ideals and symbolic powers Generalized test ideals and symbolic powers

2007-01-31

arxiv.org/abs/math/0701929v2

Mathematics

Commutative Algebra

13 pages; v.2: minor changes, to appear in Michigan Math. J

Scientific paper

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 $p$ analogue of
multiplier ideals, to give a slight generalization of Hochster-Huneke's
results.

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