100 citations · 134 across the 33 of their papers we have counts for
7 papers · 1 filter
Completions of triangulated categories
Henning Krause
These notes for a master class at Aarhus University (March 22--24, 2023) provide an introduction to the theory of completion for triangulated categories.
An analogue of Stone duality via support
Henning Krause
The notion of support provides an analogue of Stone duality, relating lattices to topological spaces. This note aims to explain in lattice theoretic terms what has been developed i…
Lattices over finite group schemes and stratification
Tobias Barthel, Dave Benson, Srikanth B. Iyengar +2
This work concerns representations of a finite flat group scheme , defined over a noetherian commutative ring . The focus is on lattices, namely, finitely generated -modul…
The finitistic dimension of a triangulated category
Henning Krause
The finitistic dimension of a triangulated category is introduced. For the category of perfect complexes over a ring it is shown that this dimension is finite if and only if the sm…
A class of Gorenstein algebras and their dualities
Wassilij Gnedin, Srikanth B. Iyengar, Henning Krause
In the recent paper "The Nakayama functor and its completion for Gorenstein algebras", a class of Gorenstein algebras over commutative noetherian rings was introduced, and duality…
Local dualisable objects in local algebra
Dave Benson, Srikanth B. Iyengar, Henning Krause +1
We discuss dualisable objects in minimal subcategories of compactly generated tensor triangulated categories, paying special attention to the derived category of a commutative noet…