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$F$-stable submodules of top local cohomology modules of Gorenstein rings

Mordechai Katzman
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Abstract

This paper applies G. Lyubeznik's notion of $F$-finite modules to describe in a very down-to-earth manner certain annihilator submodules of some top local cohomology modules over Gorenstein rings. As a consequence we obtain an explicit description of the test ideal of Gorenstein rings in terms of ideals in a regular ring.

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Mordechai Katzman. 2006-02-24. $F$-stable submodules of top local cohomology modules of Gorenstein rings. https://arxiv.org/abs/math/0602550

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