2004/06/17 by Anurag K. Singh, Irena Swanson · 2 citations
Mathematics · #math.AC
published as International Mathematics Research Notices 33 (2004) 1703-1733
arxiv created 2004/06/17 · arxiv updated 2009/12/01
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.