48 citations · 140 across the 46 of their papers we have counts for
4 papers · 2 filters
The depth formula for modules with reducible complexity
Petter Andreas Bergh, David Jorgensen
We prove that the depth formula holds for $\Tor$-independent modules in certain cases over a Cohen-Macaulay local ring, provided one of the modules has reducible complexity.
On growth in totally acyclic minimal complexes
Petter Andreas Bergh, David A. Jorgensen
Given a commutative Noetherian local ring, we provide a criterion under which a totally acyclic minimal complex of free modules has symmetric growth.
On the vanishing of homology for modules of finite complete intersection dimension
Petter Andreas Bergh, David A. Jorgensen
We prove rigidity type results on the vanishing of stable (co)homology for modules of finite complete intersection dimension, results which generalize and improve upon known result…
On complexes of finite complete intersection dimension
Petter Andreas Bergh
We study complexes of finite complete intersection dimension in the derived category of a local ring. Given such a complex, we prove that the thick subcategory it generates contain…