Associated primes of local cohomology modules and of Frobenius powers
Commutative Algebra
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/0406357,
title = {Associated primes of local cohomology modules and of Frobenius powers},
author = {Anurag K. Singh and Irena Swanson},
journal= {arXiv preprint arXiv:math/0406357},
year = {2007}
}