This is an overview on derived nonhomogeneous Koszul duality over a field, mostly based
on the author's memoir L. Positselski, Memoirs of the American Math. Society 212 (2011) …

Contraherent cosheaves are module objects over algebraic varieties defined by gluing
using the colocalization functors. Contraherent cosheaves are designed to be used for …

For a ring $ A $, we consider the question whether every bounded above cochain complex
of injective $ A $-modules which is acyclic is null-homotopic. We show that if $ A $ is left and …

Let R be any ring with identity. We show that the homotopy category of all acyclic chain
complexes of pure-projective R-modules is a compactly generated triangulated category …

This paper is a sequel to T-structures and twisted complexes on derived injectives by the
same author with W. Lowen and M. Van den Bergh. We define a dg-category of unbounded …