6 citations · 14 across the 12 of their papers we have counts for
12 papers
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…
Representation dimension and finitely generated cohomology
Petter Andreas Bergh
We consider selfinjective Artin algebras whose cohomology groups are finitely generated over a central ring of cohomology operators. For such an algebra, we show that the represent…
The representation dimension of quantum complete intersections
Petter Andreas Bergh, Steffen Oppermann
We study the representation dimension of the class of algebras known as quantum complete intersections. For such an algebra, we show that the representation dimension is at most tw…