In this article we construct various models for singularity categories of modules over
differential graded rings. The main technique is the connection between abelian model …

Given a locally coherent Grothendieck category G, we prove that the homotopy category of
complexes of injective objects (also known as the coderived category of G) is compactly …

We show that Quillenʼs small object argument works for exact categories under very mild
conditions. This has immediate applications to cotorsion pairs and their relation to the …

We define the triangulated category of relative singularities of a closed subscheme in a
scheme. When the closed subscheme is a Cartier divisor, we consider matrix factorizations …

Our aim is to give a fairly complete account on the construction of compatible model
structures on exact categories and symmetric monoidal exact categories, in some cases …

We give a definition of the action of a tensor triangulated category on a triangulated
category. In the case that is rigidly-compactly generated and is compactly generated we …

Hereditary abelian model categories | Bulletin of the London Mathematical Society | Oxford
Academic Skip to Main Content Advertisement Oxford Academic Journals Books Search Menu …

We obtain, via the formalism of tensor actions, a complete classification of the localizing
subcategories of the stable derived category of any affine scheme that has hypersurface …

A full subcategory of a Grothendieck category is called deconstructible if it consists of all
transfinite extensions of some set of objects. This concept provides a handy framework for …

Contraherent cosheaves are globalizations of cotorsion (or similar) modules over
commutative rings obtained by gluing together over a scheme. The category of contraherent …