Mathematics – Commutative Algebra
Scientific paper
2004-06-17
International Mathematics Research Notices 33 (2004) 1703-1733
Mathematics
Commutative Algebra
Scientific paper
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.
Singh Anurag K.
Swanson Irena
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