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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.AC2024
Lim Cohen-Macaulay sequences of modules
Bhargav Bhatt, Mel Hochster, Linquan Ma
We introduce the notion of a lim Cohen-Macaulay sequence of modules. We prove the existence of such sequences in positive characteristic, and show that their existence in mixed cha…