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Associated primes of local cohomology modules and of Frobenius powers

Anurag K. Singh·Irena Swanson
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Abstract

We construct normal hypersurfaces whose local cohomology modules have infinitely many associated primes. These include unique factorization domains of characteristic zero with rational singularities, as well as F-regular unique factorization domains of positive characteristic. As a consequence, we answer a question on the associated primes of Frobenius powers of ideals, which arose from the localization problem in tight closure theory.

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Anurag K. Singh, Irena Swanson. 2004-06-17. Associated primes of local cohomology modules and of Frobenius powers. https://arxiv.org/abs/math/0406357

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