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math.AC2022
Vanishing of (co)homology, freeness criteria, and the Auslander-Reiten conjecture for Cohen-Macaulay Burch rings
Rafael Holanda, Cleto B. Miranda-Neto
We establish new results on (co)homology vanishing and Ext-Tor dualities, and derive a number of freeness criteria for finite modules over Cohen-Macaulay local rings. In the main a…
math.AC2022
Multigraded Tor and local cohomology
Marc Chardin, Rafael Holanda
Notions of Castelnuovo-Mumford regularity and of invariant were extended from standard graded algebras to the toric setting. We here focus our attention on the standard multi…