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}
}
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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