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math.AC2026
Finite projective dimension and a question of Jorgensen
Rafael Holanda, Cleto B. Miranda-Neto
This paper studies finite projective dimension of finitely generated modules over a Noetherian local ring, by means of spectral sequence methods related to generalized local cohomo…
math.AC2026
Multiple Tor modules: rigidity and Mayer-Vietoris spectral sequences
Arindam Banerjee, Marc Chardin, Rafael Holanda
We extend some properties of a pair of ideals described in terms of Tor modules to any number of ideals, including the well-known rigidity property. Those extensions require the de…