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math.AC2026
Local cohomology modules with nonclosed support
Bhargav Bhatt, Linquan Ma
We construct noetherian rings admitting local cohomology modules with nonclosed support, or equivalently with infinitely many minimal primes; this answers a question of Huneke--Lyu…
math.AC2026
Infinitely many associated primes of local cohomology modules of ramified regular local rings
Linquan Ma
We construct examples of local cohomology modules of ramified regular local rings with infinitely many associated primes and infinite Bass numbers.