48 citations · 140 across the 46 of their papers we have counts for
7 papers · 1 filter
Ext-symmetry over quantum complete intersections
Petter Andreas Bergh
We show that symmetry in the vanishing of cohomology holds for graded modules over quantum complete intersections. Moreover, symmetry holds for all modules if the algebra is symmet…
On the vanishing of cohomology in triangulated categories
Petter Andreas Bergh
We study the vanishing of cohomology in triangulated categories admitting a central ring action. In particular, we study vanishing gaps and symmetry.
The Avrunin-Scott theorem for quantum complete intersections
Petter Andreas Bergh, Karin Erdmann
We prove the Avrunin-Scott theorem for quantum complete intersections; the rank variety of a module is isomorphic to its support variety.
Relative support varieties
Petter Andreas Bergh, Øyvind Solberg
We define relative support varieties with respect to some fixed module over a finite dimensional algebra. These varieties share many of the standard properties of classical support…
Cohomology of twisted tensor products
Petter Andreas Bergh, Steffen Oppermann
It is well known that the cohomology of a tensor product is essentially the tensor product of the cohomologies. We look at twisted tensor products, and investigate to which extend…
Hochschild homology and global dimension
Petter Andreas Bergh, Dag Madsen
We prove that for certain classes of graded algebras (Koszul, local, cellular), infinite global dimension implies that Hochschild homology does not vanish in high degrees, provided…