Local cohomology modules with nonclosed support
arXiv:2607.28096
summary
The authors construct Noetherian rings whose local cohomology modules have nonclosed support, i.e., infinitely many minimal primes, thereby answering a question of Huneke–Lyubeznik.
Abstract
We construct noetherian rings admitting local cohomology modules with nonclosed support, or equivalently with infinitely many minimal primes; this answers a question of Huneke--Lyubeznik.
16 pages
Topics & keywords
#local cohomology#noetherian rings#support#minimal primes#commutative algebralocal cohomology modulesnonclosed supportminimal primeshuneke–lyubeznik questionnoetherian ring