# Associated primes of local cohomology modules and of Frobenius powers

@inproceedings{Singh2004AssociatedPO, title={Associated primes of local cohomology modules and of Frobenius powers}, author={Anurag K. Singh and Irena Swanson}, year={2004} }

- Published 2004
DOI:10.1155/S1073792804133424

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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## Irena Swanson Primary decompositions

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## $D$-modules over rings with finite F-representation type

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## Growth of primary decompositions of Frobenius powers of ideals

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## ON THE SUPPORT OF LOCAL COHOMOLOGY

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## Finiteness properties and numerical behavior of local cohomology

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## Problems in Commutative Ring Theory

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