100 citations · 101 across the 6 of their papers we have counts for
6 papers
Support varieties - an ideal approach
Aslak Bakke Buan, Henning Krause, Øyvind Solberg
We define support varieties in an axiomatic setting using the prime spectrum of a lattice of ideals. A key observation is the functoriality of the spectrum and that this functor ad…
Acyclicity versus total acyclicity for complexes over noetherian rings
Srikanth Iyengar, Henning Krause
It is proved that for a commutative noetherian ring with dualizing complex the homotopy category of projective modules is equivalent, as a triangulated category, to the homotopy ca…
Rouquier's theorem on representation dimension
Henning Krause, Dirk Kussin
Based on work of Rouquier, some bounds for Aulander's representation dimension are discussed. More specifically, if X is a reduced projective scheme of dimension n over some field,…
The Auslander-Reiten formula for complexes of modules
Henning Krause, Jue Le
An Auslander-Reiten formula for complexes of modules is presented. This formula contains as a special case the classical Auslander Reiten formula. The Auslander-Reiten translate of…
The stable derived category of a noetherian scheme
Henning Krause
For a noetherian scheme, we introduce its unbounded stable derived category. This leads to a recollement which reflects the passage from the bounded derived category of coherent sh…
Cohomological quotients and smashing localizations
Henning Krause
The quotient of a triangulated category modulo a subcategory was defined by Verdier. Motivated by the failure of the telescope conjecture, we introduce a new type of quotients for…